Geometric and cohomological methods in group theory:
Geometric group theory is a vibrant subject at the heart of modern mathematics. It is currently enjoying a period of rapid growth and great influence marked by a deepening of its fertile interactions with logic, analysis and large-scale geometry, and striking progress has been made on classical prob...
Gespeichert in:
| Körperschaft: | |
|---|---|
| Weitere Verfasser: | , , |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2009
|
| Schriftenreihe: | London Mathematical Society lecture note series
358 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | Geometric group theory is a vibrant subject at the heart of modern mathematics. It is currently enjoying a period of rapid growth and great influence marked by a deepening of its fertile interactions with logic, analysis and large-scale geometry, and striking progress has been made on classical problems at the heart of cohomological group theory. This volume provides the reader with a tour through a selection of the most important trends in the field, including limit groups, quasi-isometric rigidity, non-positive curvature in group theory, and L2-methods in geometry, topology and group theory. Major survey articles exploring recent developments in the field are supported by shorter research papers, which are written in a style that readers approaching the field for the first time will find inviting |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (x, 320 pages) |
| ISBN: | 9781139107099 |
| DOI: | 10.1017/CBO9781139107099 |
Internformat
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV043945997 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 161206s2009 |||| o||u| ||||||eng d | ||
| 020 | |a 9781139107099 |c Online |9 978-1-139-10709-9 | ||
| 024 | 7 | |a 10.1017/CBO9781139107099 |2 doi | |
| 035 | |a (ZDB-20-CBO)CR9781139107099 | ||
| 035 | |a (OCoLC)850968688 | ||
| 035 | |a (DE-599)BVBBV043945997 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-92 | ||
| 082 | 0 | |a 512.2 |2 22 | |
| 084 | |a SI 320 |0 (DE-625)143123: |2 rvk | ||
| 084 | |a SK 260 |0 (DE-625)143227: |2 rvk | ||
| 110 | 2 | |a London Mathematical Society Symposium on Geometry and Cohomology in Group Theory < 2003, Durham, England> |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Geometric and cohomological methods in group theory |c edited by Martin R. Bridson, Peter H. Kropholler, Ian J. Leary |
| 246 | 1 | 3 | |a Geometric & Cohomological Methods in Group Theory |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2009 | |
| 300 | |a 1 online resource (x, 320 pages) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a London Mathematical Society lecture note series |v 358 | |
| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 505 | 8 | 0 | |g and |t Notes on Sela's work: limit groups and Makanin-Razborov diagrams |r M. Bestvin |r M. Feighn |t Solutions to Bestvina & Feighn's exercises on limit groups |r H. Wilton |t L²-invariants from the algebraic point of view |r W. Lück |t Constructing non-positively curved spaces and groups |r J. McCammond |t Homology and dynamics in quasi-isometric rigidity of once-punctured mapping class groups |r L. Mosher |g and |t Hattori-Stallings trace and Euler characteristics for groups |r I. Chatterji |r G. Mislin |g and |t Groups of small homological dimension and the Atiyah conjecture |r P.H. Kropholler |r P. Linnell |r W. Lück |t Logarithms and assembly maps on Kn̳(Zl̳[G]) |r V.P. Snaith |t On complete resolutions |r O. Talelli |t Structure theory for branch groups |r J.S. Wilson |
| 520 | |a Geometric group theory is a vibrant subject at the heart of modern mathematics. It is currently enjoying a period of rapid growth and great influence marked by a deepening of its fertile interactions with logic, analysis and large-scale geometry, and striking progress has been made on classical problems at the heart of cohomological group theory. This volume provides the reader with a tour through a selection of the most important trends in the field, including limit groups, quasi-isometric rigidity, non-positive curvature in group theory, and L2-methods in geometry, topology and group theory. Major survey articles exploring recent developments in the field are supported by shorter research papers, which are written in a style that readers approaching the field for the first time will find inviting | ||
| 650 | 4 | |a Geometric group theory / Congresses | |
| 650 | 4 | |a Homology theory / Congresses | |
| 650 | 0 | 7 | |a Geometrische Gruppentheorie |0 (DE-588)4651615-3 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)1071861417 |a Konferenzschrift |2 gnd-content | |
| 689 | 0 | 0 | |a Geometrische Gruppentheorie |0 (DE-588)4651615-3 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 700 | 1 | |a Bridson, Martin R. |d 1964- |4 edt | |
| 700 | 1 | |a Kropholler, Peter H. |d 1957- |4 edt | |
| 700 | 1 | |a Leary, Ian J. |4 edt | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druckausgabe |z 978-0-521-75724-9 |
| 856 | 4 | 0 | |u https://doi.org/10.1017/CBO9781139107099 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-20-CBO | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-029354968 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 966 | e | |u https://doi.org/10.1017/CBO9781139107099 |l BSB01 |p ZDB-20-CBO |q BSB_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/CBO9781139107099 |l FHN01 |p ZDB-20-CBO |q FHN_PDA_CBO |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804176892815736832 |
|---|---|
| any_adam_object | |
| author2 | Bridson, Martin R. 1964- Kropholler, Peter H. 1957- Leary, Ian J. |
| author2_role | edt edt edt |
| author2_variant | m r b mr mrb p h k ph phk i j l ij ijl |
| author_additional | M. Bestvin M. Feighn H. Wilton W. Lück J. McCammond L. Mosher I. Chatterji G. Mislin P.H. Kropholler P. Linnell V.P. Snaith O. Talelli J.S. Wilson |
| author_corporate | London Mathematical Society Symposium on Geometry and Cohomology in Group Theory < 2003, Durham, England> |
| author_corporate_role | aut |
| author_facet | Bridson, Martin R. 1964- Kropholler, Peter H. 1957- Leary, Ian J. London Mathematical Society Symposium on Geometry and Cohomology in Group Theory < 2003, Durham, England> |
| author_sort | London Mathematical Society Symposium on Geometry and Cohomology in Group Theory < 2003, Durham, England> |
| building | Verbundindex |
| bvnumber | BV043945997 |
| classification_rvk | SI 320 SK 260 |
| collection | ZDB-20-CBO |
| contents | Notes on Sela's work: limit groups and Makanin-Razborov diagrams Solutions to Bestvina & Feighn's exercises on limit groups L²-invariants from the algebraic point of view Constructing non-positively curved spaces and groups Homology and dynamics in quasi-isometric rigidity of once-punctured mapping class groups Hattori-Stallings trace and Euler characteristics for groups Groups of small homological dimension and the Atiyah conjecture Logarithms and assembly maps on Kn̳(Zl̳[G]) On complete resolutions Structure theory for branch groups |
| ctrlnum | (ZDB-20-CBO)CR9781139107099 (OCoLC)850968688 (DE-599)BVBBV043945997 |
| dewey-full | 512.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.2 |
| dewey-search | 512.2 |
| dewey-sort | 3512.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781139107099 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03885nmm a2200553zcb4500</leader><controlfield tag="001">BV043945997</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">161206s2009 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781139107099</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-139-10709-9</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1017/CBO9781139107099</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-20-CBO)CR9781139107099</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)850968688</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV043945997</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-92</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512.2</subfield><subfield code="2">22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 320</subfield><subfield code="0">(DE-625)143123:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 260</subfield><subfield code="0">(DE-625)143227:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="110" ind1="2" ind2=" "><subfield code="a">London Mathematical Society Symposium on Geometry and Cohomology in Group Theory < 2003, Durham, England></subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Geometric and cohomological methods in group theory</subfield><subfield code="c">edited by Martin R. Bridson, Peter H. Kropholler, Ian J. Leary</subfield></datafield><datafield tag="246" ind1="1" ind2="3"><subfield code="a">Geometric & Cohomological Methods in Group Theory</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">2009</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (x, 320 pages)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">London Mathematical Society lecture note series</subfield><subfield code="v">358</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Title from publisher's bibliographic system (viewed on 05 Oct 2015)</subfield></datafield><datafield tag="505" ind1="8" ind2="0"><subfield code="g">and</subfield><subfield code="t">Notes on Sela's work: limit groups and Makanin-Razborov diagrams</subfield><subfield code="r">M. Bestvin</subfield><subfield code="r">M. Feighn</subfield><subfield code="t">Solutions to Bestvina & Feighn's exercises on limit groups</subfield><subfield code="r">H. Wilton</subfield><subfield code="t">L²-invariants from the algebraic point of view</subfield><subfield code="r">W. Lück</subfield><subfield code="t">Constructing non-positively curved spaces and groups</subfield><subfield code="r">J. McCammond</subfield><subfield code="t">Homology and dynamics in quasi-isometric rigidity of once-punctured mapping class groups</subfield><subfield code="r">L. Mosher</subfield><subfield code="g">and</subfield><subfield code="t">Hattori-Stallings trace and Euler characteristics for groups</subfield><subfield code="r">I. Chatterji</subfield><subfield code="r">G. Mislin</subfield><subfield code="g">and</subfield><subfield code="t">Groups of small homological dimension and the Atiyah conjecture</subfield><subfield code="r">P.H. Kropholler</subfield><subfield code="r">P. Linnell</subfield><subfield code="r">W. Lück</subfield><subfield code="t">Logarithms and assembly maps on Kn̳(Zl̳[G])</subfield><subfield code="r">V.P. Snaith</subfield><subfield code="t">On complete resolutions</subfield><subfield code="r">O. Talelli</subfield><subfield code="t">Structure theory for branch groups</subfield><subfield code="r">J.S. Wilson</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Geometric group theory is a vibrant subject at the heart of modern mathematics. It is currently enjoying a period of rapid growth and great influence marked by a deepening of its fertile interactions with logic, analysis and large-scale geometry, and striking progress has been made on classical problems at the heart of cohomological group theory. This volume provides the reader with a tour through a selection of the most important trends in the field, including limit groups, quasi-isometric rigidity, non-positive curvature in group theory, and L2-methods in geometry, topology and group theory. Major survey articles exploring recent developments in the field are supported by shorter research papers, which are written in a style that readers approaching the field for the first time will find inviting</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Geometric group theory / Congresses</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Homology theory / Congresses</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Geometrische Gruppentheorie</subfield><subfield code="0">(DE-588)4651615-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)1071861417</subfield><subfield code="a">Konferenzschrift</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Geometrische Gruppentheorie</subfield><subfield code="0">(DE-588)4651615-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Bridson, Martin R.</subfield><subfield code="d">1964-</subfield><subfield code="4">edt</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Kropholler, Peter H.</subfield><subfield code="d">1957-</subfield><subfield code="4">edt</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Leary, Ian J.</subfield><subfield code="4">edt</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druckausgabe</subfield><subfield code="z">978-0-521-75724-9</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1017/CBO9781139107099</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CBO</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-029354968</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9781139107099</subfield><subfield code="l">BSB01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">BSB_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9781139107099</subfield><subfield code="l">FHN01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">FHN_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| genre | (DE-588)1071861417 Konferenzschrift gnd-content |
| genre_facet | Konferenzschrift |
| id | DE-604.BV043945997 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:24Z |
| institution | BVB |
| isbn | 9781139107099 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029354968 |
| oclc_num | 850968688 |
| open_access_boolean | |
| owner | DE-12 DE-92 |
| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (x, 320 pages) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | London Mathematical Society lecture note series |
| spelling | London Mathematical Society Symposium on Geometry and Cohomology in Group Theory < 2003, Durham, England> Verfasser aut Geometric and cohomological methods in group theory edited by Martin R. Bridson, Peter H. Kropholler, Ian J. Leary Geometric & Cohomological Methods in Group Theory Cambridge Cambridge University Press 2009 1 online resource (x, 320 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 358 Title from publisher's bibliographic system (viewed on 05 Oct 2015) and Notes on Sela's work: limit groups and Makanin-Razborov diagrams M. Bestvin M. Feighn Solutions to Bestvina & Feighn's exercises on limit groups H. Wilton L²-invariants from the algebraic point of view W. Lück Constructing non-positively curved spaces and groups J. McCammond Homology and dynamics in quasi-isometric rigidity of once-punctured mapping class groups L. Mosher and Hattori-Stallings trace and Euler characteristics for groups I. Chatterji G. Mislin and Groups of small homological dimension and the Atiyah conjecture P.H. Kropholler P. Linnell W. Lück Logarithms and assembly maps on Kn̳(Zl̳[G]) V.P. Snaith On complete resolutions O. Talelli Structure theory for branch groups J.S. Wilson Geometric group theory is a vibrant subject at the heart of modern mathematics. It is currently enjoying a period of rapid growth and great influence marked by a deepening of its fertile interactions with logic, analysis and large-scale geometry, and striking progress has been made on classical problems at the heart of cohomological group theory. This volume provides the reader with a tour through a selection of the most important trends in the field, including limit groups, quasi-isometric rigidity, non-positive curvature in group theory, and L2-methods in geometry, topology and group theory. Major survey articles exploring recent developments in the field are supported by shorter research papers, which are written in a style that readers approaching the field for the first time will find inviting Geometric group theory / Congresses Homology theory / Congresses Geometrische Gruppentheorie (DE-588)4651615-3 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Geometrische Gruppentheorie (DE-588)4651615-3 s 1\p DE-604 Bridson, Martin R. 1964- edt Kropholler, Peter H. 1957- edt Leary, Ian J. edt Erscheint auch als Druckausgabe 978-0-521-75724-9 https://doi.org/10.1017/CBO9781139107099 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Geometric and cohomological methods in group theory Notes on Sela's work: limit groups and Makanin-Razborov diagrams Solutions to Bestvina & Feighn's exercises on limit groups L²-invariants from the algebraic point of view Constructing non-positively curved spaces and groups Homology and dynamics in quasi-isometric rigidity of once-punctured mapping class groups Hattori-Stallings trace and Euler characteristics for groups Groups of small homological dimension and the Atiyah conjecture Logarithms and assembly maps on Kn̳(Zl̳[G]) On complete resolutions Structure theory for branch groups Geometric group theory / Congresses Homology theory / Congresses Geometrische Gruppentheorie (DE-588)4651615-3 gnd |
| subject_GND | (DE-588)4651615-3 (DE-588)1071861417 |
| title | Geometric and cohomological methods in group theory |
| title_alt | Geometric & Cohomological Methods in Group Theory Notes on Sela's work: limit groups and Makanin-Razborov diagrams Solutions to Bestvina & Feighn's exercises on limit groups L²-invariants from the algebraic point of view Constructing non-positively curved spaces and groups Homology and dynamics in quasi-isometric rigidity of once-punctured mapping class groups Hattori-Stallings trace and Euler characteristics for groups Groups of small homological dimension and the Atiyah conjecture Logarithms and assembly maps on Kn̳(Zl̳[G]) On complete resolutions Structure theory for branch groups |
| title_auth | Geometric and cohomological methods in group theory |
| title_exact_search | Geometric and cohomological methods in group theory |
| title_full | Geometric and cohomological methods in group theory edited by Martin R. Bridson, Peter H. Kropholler, Ian J. Leary |
| title_fullStr | Geometric and cohomological methods in group theory edited by Martin R. Bridson, Peter H. Kropholler, Ian J. Leary |
| title_full_unstemmed | Geometric and cohomological methods in group theory edited by Martin R. Bridson, Peter H. Kropholler, Ian J. Leary |
| title_short | Geometric and cohomological methods in group theory |
| title_sort | geometric and cohomological methods in group theory |
| topic | Geometric group theory / Congresses Homology theory / Congresses Geometrische Gruppentheorie (DE-588)4651615-3 gnd |
| topic_facet | Geometric group theory / Congresses Homology theory / Congresses Geometrische Gruppentheorie Konferenzschrift |
| url | https://doi.org/10.1017/CBO9781139107099 |
| work_keys_str_mv | AT londonmathematicalsocietysymposiumongeometryandcohomologyingrouptheory2003durhamengland geometricandcohomologicalmethodsingrouptheory AT bridsonmartinr geometricandcohomologicalmethodsingrouptheory AT krophollerpeterh geometricandcohomologicalmethodsingrouptheory AT learyianj geometricandcohomologicalmethodsingrouptheory AT londonmathematicalsocietysymposiumongeometryandcohomologyingrouptheory2003durhamengland geometriccohomologicalmethodsingrouptheory AT bridsonmartinr geometriccohomologicalmethodsingrouptheory AT krophollerpeterh geometriccohomologicalmethodsingrouptheory AT learyianj geometriccohomologicalmethodsingrouptheory |