Topics in infinite group theory: Nielsen methods, covering spaces, and hyperbolic groups
This book gives an advanced overview of several topics in infinite group theory. It can also be considered as a rigorous introduction to combinatorial and geometric group theory. The philosophy of the book is to describe the interaction between these two important parts of infinite group theory. In...
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Boston
De Gruyter
[2021]
|
| Schriftenreihe: | De Gruyter STEM
|
| Schlagworte: | |
| Zusammenfassung: | This book gives an advanced overview of several topics in infinite group theory. It can also be considered as a rigorous introduction to combinatorial and geometric group theory. The philosophy of the book is to describe the interaction between these two important parts of infinite group theory. In this line of thought, several theorems are proved multiple times with different methods either purely combinatorial or purely geometric while others are shown by a combination of arguments from both perspectives. The first part of the book deals with Nielsen methods and introduces the reader to results and examples that are helpful to understand the following parts. The second part focuses on covering spaces and fundamental groups, including covering space proofs of group theoretic results. The third part deals with the theory of hyperbolic groups. The subjects are illustrated and described by prominent examples and an outlook on solved and unsolved problems |
| Beschreibung: | IX, 382 Seiten Illustrationen 634 grams |
| ISBN: | 9783110673340 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV047588739 | ||
| 003 | DE-604 | ||
| 005 | 20220208 | ||
| 007 | t | ||
| 008 | 211115s2021 a||| |||| 00||| eng d | ||
| 020 | |a 9783110673340 |9 978-3-11-067334-0 | ||
| 024 | 3 | |a 9783110673340 | |
| 035 | |a (OCoLC)1286881753 | ||
| 035 | |a (DE-599)BVBBV047588739 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-29T |a DE-703 |a DE-83 | ||
| 084 | |a SK 260 |0 (DE-625)143227: |2 rvk | ||
| 100 | 1 | |a Fine, Benjamin |d 1948- |e Verfasser |0 (DE-588)132345048 |4 aut | |
| 245 | 1 | 0 | |a Topics in infinite group theory |b Nielsen methods, covering spaces, and hyperbolic groups |c Benjamin Fine, Anja Moldenhauer, Gerhard Rosenberger, Leonard Wienke |
| 264 | 1 | |a Berlin ; Boston |b De Gruyter |c [2021] | |
| 264 | 4 | |c © 2021 | |
| 300 | |a IX, 382 Seiten |b Illustrationen |c 634 grams | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a De Gruyter STEM | |
| 520 | |a This book gives an advanced overview of several topics in infinite group theory. It can also be considered as a rigorous introduction to combinatorial and geometric group theory. The philosophy of the book is to describe the interaction between these two important parts of infinite group theory. In this line of thought, several theorems are proved multiple times with different methods either purely combinatorial or purely geometric while others are shown by a combination of arguments from both perspectives. The first part of the book deals with Nielsen methods and introduces the reader to results and examples that are helpful to understand the following parts. The second part focuses on covering spaces and fundamental groups, including covering space proofs of group theoretic results. The third part deals with the theory of hyperbolic groups. The subjects are illustrated and described by prominent examples and an outlook on solved and unsolved problems | ||
| 650 | 0 | 7 | |a Kombinatorische Gruppentheorie |0 (DE-588)4219556-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Gruppentheorie |0 (DE-588)4072157-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Geometrische Gruppentheorie |0 (DE-588)4651615-3 |2 gnd |9 rswk-swf |
| 653 | |a Hardcover, Softcover / Mathematik/Sonstiges | ||
| 689 | 0 | 0 | |a Gruppentheorie |0 (DE-588)4072157-7 |D s |
| 689 | 0 | 1 | |a Geometrische Gruppentheorie |0 (DE-588)4651615-3 |D s |
| 689 | 0 | 2 | |a Kombinatorische Gruppentheorie |0 (DE-588)4219556-1 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Moldenhauer, Anja |e Verfasser |0 (DE-588)1147606471 |4 aut | |
| 700 | 1 | |a Rosenberger, Gerhard |d 1944- |e Verfasser |0 (DE-588)13155221X |4 aut | |
| 700 | 1 | |a Wienke, Leonard |e Verfasser |0 (DE-588)1244883131 |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe, PDF |z 978-3-11-067337-1 |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe, EPUB |z 978-3-11-067340-1 |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-032973953 | ||
Datensatz im Suchindex
| _version_ | 1804182947442458624 |
|---|---|
| adam_txt | |
| any_adam_object | |
| any_adam_object_boolean | |
| author | Fine, Benjamin 1948- Moldenhauer, Anja Rosenberger, Gerhard 1944- Wienke, Leonard |
| author_GND | (DE-588)132345048 (DE-588)1147606471 (DE-588)13155221X (DE-588)1244883131 |
| author_facet | Fine, Benjamin 1948- Moldenhauer, Anja Rosenberger, Gerhard 1944- Wienke, Leonard |
| author_role | aut aut aut aut |
| author_sort | Fine, Benjamin 1948- |
| author_variant | b f bf a m am g r gr l w lw |
| building | Verbundindex |
| bvnumber | BV047588739 |
| classification_rvk | SK 260 |
| ctrlnum | (OCoLC)1286881753 (DE-599)BVBBV047588739 |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02857nam a2200469 c 4500</leader><controlfield tag="001">BV047588739</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20220208 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">211115s2021 a||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783110673340</subfield><subfield code="9">978-3-11-067334-0</subfield></datafield><datafield tag="024" ind1="3" ind2=" "><subfield code="a">9783110673340</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1286881753</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV047588739</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-29T</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-83</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="100" ind1="1" ind2=" "><subfield code="a">Fine, Benjamin</subfield><subfield code="d">1948-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)132345048</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Topics in infinite group theory</subfield><subfield code="b">Nielsen methods, covering spaces, and hyperbolic groups</subfield><subfield code="c">Benjamin Fine, Anja Moldenhauer, Gerhard Rosenberger, Leonard Wienke</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin ; Boston</subfield><subfield code="b">De Gruyter</subfield><subfield code="c">[2021]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">© 2021</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">IX, 382 Seiten</subfield><subfield code="b">Illustrationen</subfield><subfield code="c">634 grams</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">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">De Gruyter STEM</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This book gives an advanced overview of several topics in infinite group theory. It can also be considered as a rigorous introduction to combinatorial and geometric group theory. The philosophy of the book is to describe the interaction between these two important parts of infinite group theory. In this line of thought, several theorems are proved multiple times with different methods either purely combinatorial or purely geometric while others are shown by a combination of arguments from both perspectives. The first part of the book deals with Nielsen methods and introduces the reader to results and examples that are helpful to understand the following parts. The second part focuses on covering spaces and fundamental groups, including covering space proofs of group theoretic results. The third part deals with the theory of hyperbolic groups. The subjects are illustrated and described by prominent examples and an outlook on solved and unsolved problems</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kombinatorische Gruppentheorie</subfield><subfield code="0">(DE-588)4219556-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Gruppentheorie</subfield><subfield code="0">(DE-588)4072157-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</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="653" ind1=" " ind2=" "><subfield code="a">Hardcover, Softcover / Mathematik/Sonstiges</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Gruppentheorie</subfield><subfield code="0">(DE-588)4072157-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><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="2"><subfield code="a">Kombinatorische Gruppentheorie</subfield><subfield code="0">(DE-588)4219556-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Moldenhauer, Anja</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1147606471</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Rosenberger, Gerhard</subfield><subfield code="d">1944-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)13155221X</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Wienke, Leonard</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1244883131</subfield><subfield code="4">aut</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe, PDF</subfield><subfield code="z">978-3-11-067337-1</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe, EPUB</subfield><subfield code="z">978-3-11-067340-1</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-032973953</subfield></datafield></record></collection> |
| id | DE-604.BV047588739 |
| illustrated | Illustrated |
| index_date | 2024-07-03T18:35:26Z |
| indexdate | 2024-07-10T09:15:39Z |
| institution | BVB |
| isbn | 9783110673340 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032973953 |
| oclc_num | 1286881753 |
| open_access_boolean | |
| owner | DE-29T DE-703 DE-83 |
| owner_facet | DE-29T DE-703 DE-83 |
| physical | IX, 382 Seiten Illustrationen 634 grams |
| publishDate | 2021 |
| publishDateSearch | 2021 |
| publishDateSort | 2021 |
| publisher | De Gruyter |
| record_format | marc |
| series2 | De Gruyter STEM |
| spelling | Fine, Benjamin 1948- Verfasser (DE-588)132345048 aut Topics in infinite group theory Nielsen methods, covering spaces, and hyperbolic groups Benjamin Fine, Anja Moldenhauer, Gerhard Rosenberger, Leonard Wienke Berlin ; Boston De Gruyter [2021] © 2021 IX, 382 Seiten Illustrationen 634 grams txt rdacontent n rdamedia nc rdacarrier De Gruyter STEM This book gives an advanced overview of several topics in infinite group theory. It can also be considered as a rigorous introduction to combinatorial and geometric group theory. The philosophy of the book is to describe the interaction between these two important parts of infinite group theory. In this line of thought, several theorems are proved multiple times with different methods either purely combinatorial or purely geometric while others are shown by a combination of arguments from both perspectives. The first part of the book deals with Nielsen methods and introduces the reader to results and examples that are helpful to understand the following parts. The second part focuses on covering spaces and fundamental groups, including covering space proofs of group theoretic results. The third part deals with the theory of hyperbolic groups. The subjects are illustrated and described by prominent examples and an outlook on solved and unsolved problems Kombinatorische Gruppentheorie (DE-588)4219556-1 gnd rswk-swf Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Geometrische Gruppentheorie (DE-588)4651615-3 gnd rswk-swf Hardcover, Softcover / Mathematik/Sonstiges Gruppentheorie (DE-588)4072157-7 s Geometrische Gruppentheorie (DE-588)4651615-3 s Kombinatorische Gruppentheorie (DE-588)4219556-1 s DE-604 Moldenhauer, Anja Verfasser (DE-588)1147606471 aut Rosenberger, Gerhard 1944- Verfasser (DE-588)13155221X aut Wienke, Leonard Verfasser (DE-588)1244883131 aut Erscheint auch als Online-Ausgabe, PDF 978-3-11-067337-1 Erscheint auch als Online-Ausgabe, EPUB 978-3-11-067340-1 |
| spellingShingle | Fine, Benjamin 1948- Moldenhauer, Anja Rosenberger, Gerhard 1944- Wienke, Leonard Topics in infinite group theory Nielsen methods, covering spaces, and hyperbolic groups Kombinatorische Gruppentheorie (DE-588)4219556-1 gnd Gruppentheorie (DE-588)4072157-7 gnd Geometrische Gruppentheorie (DE-588)4651615-3 gnd |
| subject_GND | (DE-588)4219556-1 (DE-588)4072157-7 (DE-588)4651615-3 |
| title | Topics in infinite group theory Nielsen methods, covering spaces, and hyperbolic groups |
| title_auth | Topics in infinite group theory Nielsen methods, covering spaces, and hyperbolic groups |
| title_exact_search | Topics in infinite group theory Nielsen methods, covering spaces, and hyperbolic groups |
| title_exact_search_txtP | Topics in infinite group theory Nielsen methods, covering spaces, and hyperbolic groups |
| title_full | Topics in infinite group theory Nielsen methods, covering spaces, and hyperbolic groups Benjamin Fine, Anja Moldenhauer, Gerhard Rosenberger, Leonard Wienke |
| title_fullStr | Topics in infinite group theory Nielsen methods, covering spaces, and hyperbolic groups Benjamin Fine, Anja Moldenhauer, Gerhard Rosenberger, Leonard Wienke |
| title_full_unstemmed | Topics in infinite group theory Nielsen methods, covering spaces, and hyperbolic groups Benjamin Fine, Anja Moldenhauer, Gerhard Rosenberger, Leonard Wienke |
| title_short | Topics in infinite group theory |
| title_sort | topics in infinite group theory nielsen methods covering spaces and hyperbolic groups |
| title_sub | Nielsen methods, covering spaces, and hyperbolic groups |
| topic | Kombinatorische Gruppentheorie (DE-588)4219556-1 gnd Gruppentheorie (DE-588)4072157-7 gnd Geometrische Gruppentheorie (DE-588)4651615-3 gnd |
| topic_facet | Kombinatorische Gruppentheorie Gruppentheorie Geometrische Gruppentheorie |
| work_keys_str_mv | AT finebenjamin topicsininfinitegrouptheorynielsenmethodscoveringspacesandhyperbolicgroups AT moldenhaueranja topicsininfinitegrouptheorynielsenmethodscoveringspacesandhyperbolicgroups AT rosenbergergerhard topicsininfinitegrouptheorynielsenmethodscoveringspacesandhyperbolicgroups AT wienkeleonard topicsininfinitegrouptheorynielsenmethodscoveringspacesandhyperbolicgroups |