Group Rings and Class Groups:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Birkhäuser Basel
1992
|
| Schriftenreihe: | DMV Seminar
18 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | These notes form an extended version of talks given at the DMV-seminar in Giinzburg, September 1990. The seminar consisted of two parts: 1) "The isomorphism problem for integral group rings", with the main talks given by K. W. Roggenkamp and shorter contributions by W.Kimmerle, J.llitter and A. Zimmermann (Part 1). 2) "Galois-Module structure", with the main talks given by M.Taylor and shorter contributions by N.Byott (Part 2). We greatly appreciate the opportunity, given us by the DMV to hold this seminar. DMV-Seminar Part 1 Group Rings: Units and the Isomorphism Problem K. W. Roggenkamp with contributions by W. Kimmerle and A. Zimmermann Contents 3 Table of Contents I Some general facts ... 7 § 1 Ring reduction to PID . 7 § 2 Modules ........ . 7 II Some notes on representation theory 9 §1 Blocks .................. . 9 §2 Normalizers of p-Sylow subgroups of group bases 11 §3 Cohomology rings 12 Profinite groups .. . . . . . . . . 13 §4 III The leading coefficient of units 15 IV Class sum correspondence ... . . . . . . . . . . . .. . . 21 |
| Beschreibung: | 1 Online-Ressource (VI, 210 p) |
| ISBN: | 9783034886116 9783764327347 |
| DOI: | 10.1007/978-3-0348-8611-6 |
Internformat
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV042422183 | ||
| 003 | DE-604 | ||
| 005 | 20170915 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 150317s1992 |||| o||u| ||||||eng d | ||
| 020 | |a 9783034886116 |c Online |9 978-3-0348-8611-6 | ||
| 020 | |a 9783764327347 |c Print |9 978-3-7643-2734-7 | ||
| 024 | 7 | |a 10.1007/978-3-0348-8611-6 |2 doi | |
| 035 | |a (OCoLC)863760402 | ||
| 035 | |a (DE-599)BVBBV042422183 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-703 |a DE-91 |a DE-634 | ||
| 082 | 0 | |a 510 |2 23 | |
| 084 | |a MAT 000 |2 stub | ||
| 100 | 1 | |a Roggenkamp, Klaus W. |d 1940-2021 |e Verfasser |0 (DE-588)117719811 |4 aut | |
| 245 | 1 | 0 | |a Group Rings and Class Groups |c by Klaus W. Roggenkamp, Martin J. Taylor |
| 264 | 1 | |a Basel |b Birkhäuser Basel |c 1992 | |
| 300 | |a 1 Online-Ressource (VI, 210 p) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 1 | |a DMV Seminar |v 18 | |
| 500 | |a These notes form an extended version of talks given at the DMV-seminar in Giinzburg, September 1990. The seminar consisted of two parts: 1) "The isomorphism problem for integral group rings", with the main talks given by K. W. Roggenkamp and shorter contributions by W.Kimmerle, J.llitter and A. Zimmermann (Part 1). 2) "Galois-Module structure", with the main talks given by M.Taylor and shorter contributions by N.Byott (Part 2). We greatly appreciate the opportunity, given us by the DMV to hold this seminar. DMV-Seminar Part 1 Group Rings: Units and the Isomorphism Problem K. W. Roggenkamp with contributions by W. Kimmerle and A. Zimmermann Contents 3 Table of Contents I Some general facts ... 7 § 1 Ring reduction to PID . 7 § 2 Modules ........ . 7 II Some notes on representation theory 9 §1 Blocks .................. . 9 §2 Normalizers of p-Sylow subgroups of group bases 11 §3 Cohomology rings 12 Profinite groups .. . . . . . . . . 13 §4 III The leading coefficient of units 15 IV Class sum correspondence ... . . . . . . . . . . . .. . . 21 | ||
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Mathematics, general | |
| 650 | 4 | |a Mathematik | |
| 650 | 0 | 7 | |a Isomorphismus |0 (DE-588)4143978-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Gruppenring |0 (DE-588)4158469-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Hopf-Algebra |0 (DE-588)4160646-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Klassengruppe |0 (DE-588)4164018-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Galois-Modul |0 (DE-588)4155898-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Gruppenring |0 (DE-588)4158469-7 |D s |
| 689 | 0 | 1 | |a Hopf-Algebra |0 (DE-588)4160646-2 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 689 | 1 | 0 | |a Gruppenring |0 (DE-588)4158469-7 |D s |
| 689 | 1 | 1 | |a Isomorphismus |0 (DE-588)4143978-8 |D s |
| 689 | 1 | |8 2\p |5 DE-604 | |
| 689 | 2 | 0 | |a Galois-Modul |0 (DE-588)4155898-4 |D s |
| 689 | 2 | |8 3\p |5 DE-604 | |
| 689 | 3 | 0 | |a Klassengruppe |0 (DE-588)4164018-4 |D s |
| 689 | 3 | |8 4\p |5 DE-604 | |
| 700 | 1 | |a Taylor, Martin |d 1952- |e Sonstige |0 (DE-588)128636416 |4 oth | |
| 830 | 0 | |a DMV Seminar |v 18 |w (DE-604)BV000020322 |9 18 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-0348-8611-6 |x Verlag |3 Volltext |
| 912 | |a ZDB-2-SMA |a ZDB-2-BAE | ||
| 940 | 1 | |q ZDB-2-SMA_Archive | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-027857600 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 883 | 1 | |8 2\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 883 | 1 | |8 3\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 883 | 1 | |8 4\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Datensatz im Suchindex
| _version_ | 1804153096252686336 |
|---|---|
| any_adam_object | |
| author | Roggenkamp, Klaus W. 1940-2021 |
| author_GND | (DE-588)117719811 (DE-588)128636416 |
| author_facet | Roggenkamp, Klaus W. 1940-2021 |
| author_role | aut |
| author_sort | Roggenkamp, Klaus W. 1940-2021 |
| author_variant | k w r kw kwr |
| building | Verbundindex |
| bvnumber | BV042422183 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)863760402 (DE-599)BVBBV042422183 |
| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-0348-8611-6 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03528nmm a2200649zcb4500</leader><controlfield tag="001">BV042422183</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20170915 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150317s1992 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783034886116</subfield><subfield code="c">Online</subfield><subfield code="9">978-3-0348-8611-6</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783764327347</subfield><subfield code="c">Print</subfield><subfield code="9">978-3-7643-2734-7</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-3-0348-8611-6</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)863760402</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042422183</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Roggenkamp, Klaus W.</subfield><subfield code="d">1940-2021</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)117719811</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Group Rings and Class Groups</subfield><subfield code="c">by Klaus W. Roggenkamp, Martin J. Taylor</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Basel</subfield><subfield code="b">Birkhäuser Basel</subfield><subfield code="c">1992</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (VI, 210 p)</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="1" ind2=" "><subfield code="a">DMV Seminar</subfield><subfield code="v">18</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">These notes form an extended version of talks given at the DMV-seminar in Giinzburg, September 1990. The seminar consisted of two parts: 1) "The isomorphism problem for integral group rings", with the main talks given by K. W. Roggenkamp and shorter contributions by W.Kimmerle, J.llitter and A. Zimmermann (Part 1). 2) "Galois-Module structure", with the main talks given by M.Taylor and shorter contributions by N.Byott (Part 2). We greatly appreciate the opportunity, given us by the DMV to hold this seminar. DMV-Seminar Part 1 Group Rings: Units and the Isomorphism Problem K. W. Roggenkamp with contributions by W. Kimmerle and A. Zimmermann Contents 3 Table of Contents I Some general facts ... 7 § 1 Ring reduction to PID . 7 § 2 Modules ........ . 7 II Some notes on representation theory 9 §1 Blocks .................. . 9 §2 Normalizers of p-Sylow subgroups of group bases 11 §3 Cohomology rings 12 Profinite groups .. . . . . . . . . 13 §4 III The leading coefficient of units 15 IV Class sum correspondence ... . . . . . . . . . . . .. . . 21</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics, general</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Isomorphismus</subfield><subfield code="0">(DE-588)4143978-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Gruppenring</subfield><subfield code="0">(DE-588)4158469-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Hopf-Algebra</subfield><subfield code="0">(DE-588)4160646-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Klassengruppe</subfield><subfield code="0">(DE-588)4164018-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Galois-Modul</subfield><subfield code="0">(DE-588)4155898-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Gruppenring</subfield><subfield code="0">(DE-588)4158469-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Hopf-Algebra</subfield><subfield code="0">(DE-588)4160646-2</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="689" ind1="1" ind2="0"><subfield code="a">Gruppenring</subfield><subfield code="0">(DE-588)4158469-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Isomorphismus</subfield><subfield code="0">(DE-588)4143978-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Galois-Modul</subfield><subfield code="0">(DE-588)4155898-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="8">3\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="3" ind2="0"><subfield code="a">Klassengruppe</subfield><subfield code="0">(DE-588)4164018-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="3" ind2=" "><subfield code="8">4\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Taylor, Martin</subfield><subfield code="d">1952-</subfield><subfield code="e">Sonstige</subfield><subfield code="0">(DE-588)128636416</subfield><subfield code="4">oth</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">DMV Seminar</subfield><subfield code="v">18</subfield><subfield code="w">(DE-604)BV000020322</subfield><subfield code="9">18</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-3-0348-8611-6</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield><subfield code="a">ZDB-2-BAE</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-SMA_Archive</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027857600</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="883" ind1="1" ind2=" "><subfield code="8">2\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="883" ind1="1" ind2=" "><subfield code="8">3\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="883" ind1="1" ind2=" "><subfield code="8">4\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></record></collection> |
| id | DE-604.BV042422183 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:10Z |
| institution | BVB |
| isbn | 9783034886116 9783764327347 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027857600 |
| oclc_num | 863760402 |
| open_access_boolean | |
| owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (VI, 210 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Birkhäuser Basel |
| record_format | marc |
| series | DMV Seminar |
| series2 | DMV Seminar |
| spelling | Roggenkamp, Klaus W. 1940-2021 Verfasser (DE-588)117719811 aut Group Rings and Class Groups by Klaus W. Roggenkamp, Martin J. Taylor Basel Birkhäuser Basel 1992 1 Online-Ressource (VI, 210 p) txt rdacontent c rdamedia cr rdacarrier DMV Seminar 18 These notes form an extended version of talks given at the DMV-seminar in Giinzburg, September 1990. The seminar consisted of two parts: 1) "The isomorphism problem for integral group rings", with the main talks given by K. W. Roggenkamp and shorter contributions by W.Kimmerle, J.llitter and A. Zimmermann (Part 1). 2) "Galois-Module structure", with the main talks given by M.Taylor and shorter contributions by N.Byott (Part 2). We greatly appreciate the opportunity, given us by the DMV to hold this seminar. DMV-Seminar Part 1 Group Rings: Units and the Isomorphism Problem K. W. Roggenkamp with contributions by W. Kimmerle and A. Zimmermann Contents 3 Table of Contents I Some general facts ... 7 § 1 Ring reduction to PID . 7 § 2 Modules ........ . 7 II Some notes on representation theory 9 §1 Blocks .................. . 9 §2 Normalizers of p-Sylow subgroups of group bases 11 §3 Cohomology rings 12 Profinite groups .. . . . . . . . . 13 §4 III The leading coefficient of units 15 IV Class sum correspondence ... . . . . . . . . . . . .. . . 21 Mathematics Mathematics, general Mathematik Isomorphismus (DE-588)4143978-8 gnd rswk-swf Gruppenring (DE-588)4158469-7 gnd rswk-swf Hopf-Algebra (DE-588)4160646-2 gnd rswk-swf Klassengruppe (DE-588)4164018-4 gnd rswk-swf Galois-Modul (DE-588)4155898-4 gnd rswk-swf Gruppenring (DE-588)4158469-7 s Hopf-Algebra (DE-588)4160646-2 s 1\p DE-604 Isomorphismus (DE-588)4143978-8 s 2\p DE-604 Galois-Modul (DE-588)4155898-4 s 3\p DE-604 Klassengruppe (DE-588)4164018-4 s 4\p DE-604 Taylor, Martin 1952- Sonstige (DE-588)128636416 oth DMV Seminar 18 (DE-604)BV000020322 18 https://doi.org/10.1007/978-3-0348-8611-6 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Roggenkamp, Klaus W. 1940-2021 Group Rings and Class Groups DMV Seminar Mathematics Mathematics, general Mathematik Isomorphismus (DE-588)4143978-8 gnd Gruppenring (DE-588)4158469-7 gnd Hopf-Algebra (DE-588)4160646-2 gnd Klassengruppe (DE-588)4164018-4 gnd Galois-Modul (DE-588)4155898-4 gnd |
| subject_GND | (DE-588)4143978-8 (DE-588)4158469-7 (DE-588)4160646-2 (DE-588)4164018-4 (DE-588)4155898-4 |
| title | Group Rings and Class Groups |
| title_auth | Group Rings and Class Groups |
| title_exact_search | Group Rings and Class Groups |
| title_full | Group Rings and Class Groups by Klaus W. Roggenkamp, Martin J. Taylor |
| title_fullStr | Group Rings and Class Groups by Klaus W. Roggenkamp, Martin J. Taylor |
| title_full_unstemmed | Group Rings and Class Groups by Klaus W. Roggenkamp, Martin J. Taylor |
| title_short | Group Rings and Class Groups |
| title_sort | group rings and class groups |
| topic | Mathematics Mathematics, general Mathematik Isomorphismus (DE-588)4143978-8 gnd Gruppenring (DE-588)4158469-7 gnd Hopf-Algebra (DE-588)4160646-2 gnd Klassengruppe (DE-588)4164018-4 gnd Galois-Modul (DE-588)4155898-4 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Isomorphismus Gruppenring Hopf-Algebra Klassengruppe Galois-Modul |
| url | https://doi.org/10.1007/978-3-0348-8611-6 |
| volume_link | (DE-604)BV000020322 |
| work_keys_str_mv | AT roggenkampklausw groupringsandclassgroups AT taylormartin groupringsandclassgroups |