Characters and blocks of finite groups:
This is a clear, accessible and up-to-date exposition of modular representation theory of finite groups from a character-theoretic viewpoint. After a short review of the necessary background material, the early chapters introduce Brauer characters and blocks and develop their basic properties. The n...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1998
|
| Schriftenreihe: | London Mathematical Society lecture note series
250 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 URL des Erstveröffentlichers |
| Zusammenfassung: | This is a clear, accessible and up-to-date exposition of modular representation theory of finite groups from a character-theoretic viewpoint. After a short review of the necessary background material, the early chapters introduce Brauer characters and blocks and develop their basic properties. The next three chapters study and prove Brauer's first, second and third main theorems in turn. These results are then applied to prove a major application of finite groups, the Glauberman Z*-theorem. Later chapters examine Brauer characters in more detail. The relationship between blocks and normal subgroups is also explored and the modular characters and blocks in p-solvable groups are discussed. Finally, the character theory of groups with a Sylow p-subgroup of order p is studied. Each chapter concludes with a set of problems. The book is aimed at graduate students, with some previous knowledge of ordinary character theory, and researchers studying the representation theory of finite groups |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (x, 287 pages) |
| ISBN: | 9780511526015 |
| DOI: | 10.1017/CBO9780511526015 |
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| 245 | 1 | 0 | |a Characters and blocks of finite groups |c G. Navarro |
| 246 | 1 | 3 | |a Characters & Blocks of Finite Groups |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 1998 | |
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| 490 | 0 | |a London Mathematical Society lecture note series |v 250 | |
| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 505 | 8 | 0 | |g Ch. 1 |t Algebras |g Ch. 2 |t Brauer Characters |g Ch. 3 |t Blocks |g Ch. 4 |t The First Main Theorem |g Ch. 5 |t The Second Main Theorem |g Ch. 6 |t The Third Main Theorem |g Ch. 7 |t The Z*-Theorem |g Ch. 8 |t Brauer Characters as Characters |g Ch. 9 |t Blocks and Normal Subgroups |g Ch. 10 |t Characters and Blocks in p-Solvable Groups |g Ch. 11 |t Groups with Sylow p-Subgroups of Order p |
| 520 | |a This is a clear, accessible and up-to-date exposition of modular representation theory of finite groups from a character-theoretic viewpoint. After a short review of the necessary background material, the early chapters introduce Brauer characters and blocks and develop their basic properties. The next three chapters study and prove Brauer's first, second and third main theorems in turn. These results are then applied to prove a major application of finite groups, the Glauberman Z*-theorem. Later chapters examine Brauer characters in more detail. The relationship between blocks and normal subgroups is also explored and the modular characters and blocks in p-solvable groups are discussed. Finally, the character theory of groups with a Sylow p-subgroup of order p is studied. Each chapter concludes with a set of problems. The book is aimed at graduate students, with some previous knowledge of ordinary character theory, and researchers studying the representation theory of finite groups | ||
| 650 | 4 | |a Finite groups | |
| 650 | 4 | |a Characters of groups | |
| 650 | 4 | |a Blocks (Group theory) | |
| 650 | 0 | 7 | |a Block |g Mathematik |0 (DE-588)4146017-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Endliche Gruppe |0 (DE-588)4014651-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Charakter |g Gruppentheorie |0 (DE-588)4158438-7 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1804176884411400192 |
|---|---|
| any_adam_object | |
| author | Navarro, G. |
| author_facet | Navarro, G. |
| author_role | aut |
| author_sort | Navarro, G. |
| author_variant | g n gn |
| building | Verbundindex |
| bvnumber | BV043942026 |
| classification_rvk | SI 320 SK 260 |
| collection | ZDB-20-CBO |
| contents | Algebras Brauer Characters Blocks The First Main Theorem The Second Main Theorem The Third Main Theorem The Z*-Theorem Brauer Characters as Characters Blocks and Normal Subgroups Characters and Blocks in p-Solvable Groups Groups with Sylow p-Subgroups of Order p |
| ctrlnum | (ZDB-20-CBO)CR9780511526015 (OCoLC)967681073 (DE-599)BVBBV043942026 |
| 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 12 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511526015 |
| format | Electronic eBook |
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| id | DE-604.BV043942026 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:16Z |
| institution | BVB |
| isbn | 9780511526015 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350996 |
| oclc_num | 967681073 |
| open_access_boolean | |
| owner | DE-12 DE-92 |
| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (x, 287 pages) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | London Mathematical Society lecture note series |
| spelling | Navarro, G. Verfasser aut Characters and blocks of finite groups G. Navarro Characters & Blocks of Finite Groups Cambridge Cambridge University Press 1998 1 online resource (x, 287 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 250 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Ch. 1 Algebras Ch. 2 Brauer Characters Ch. 3 Blocks Ch. 4 The First Main Theorem Ch. 5 The Second Main Theorem Ch. 6 The Third Main Theorem Ch. 7 The Z*-Theorem Ch. 8 Brauer Characters as Characters Ch. 9 Blocks and Normal Subgroups Ch. 10 Characters and Blocks in p-Solvable Groups Ch. 11 Groups with Sylow p-Subgroups of Order p This is a clear, accessible and up-to-date exposition of modular representation theory of finite groups from a character-theoretic viewpoint. After a short review of the necessary background material, the early chapters introduce Brauer characters and blocks and develop their basic properties. The next three chapters study and prove Brauer's first, second and third main theorems in turn. These results are then applied to prove a major application of finite groups, the Glauberman Z*-theorem. Later chapters examine Brauer characters in more detail. The relationship between blocks and normal subgroups is also explored and the modular characters and blocks in p-solvable groups are discussed. Finally, the character theory of groups with a Sylow p-subgroup of order p is studied. Each chapter concludes with a set of problems. The book is aimed at graduate students, with some previous knowledge of ordinary character theory, and researchers studying the representation theory of finite groups Finite groups Characters of groups Blocks (Group theory) Block Mathematik (DE-588)4146017-0 gnd rswk-swf Endliche Gruppe (DE-588)4014651-0 gnd rswk-swf Charakter Gruppentheorie (DE-588)4158438-7 gnd rswk-swf Charakter Gruppentheorie (DE-588)4158438-7 s Endliche Gruppe (DE-588)4014651-0 s DE-604 Block Mathematik (DE-588)4146017-0 s Erscheint auch als Druckausgabe 978-0-521-59513-1 https://doi.org/10.1017/CBO9780511526015 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Navarro, G. Characters and blocks of finite groups Algebras Brauer Characters Blocks The First Main Theorem The Second Main Theorem The Third Main Theorem The Z*-Theorem Brauer Characters as Characters Blocks and Normal Subgroups Characters and Blocks in p-Solvable Groups Groups with Sylow p-Subgroups of Order p Finite groups Characters of groups Blocks (Group theory) Block Mathematik (DE-588)4146017-0 gnd Endliche Gruppe (DE-588)4014651-0 gnd Charakter Gruppentheorie (DE-588)4158438-7 gnd |
| subject_GND | (DE-588)4146017-0 (DE-588)4014651-0 (DE-588)4158438-7 |
| title | Characters and blocks of finite groups |
| title_alt | Characters & Blocks of Finite Groups Algebras Brauer Characters Blocks The First Main Theorem The Second Main Theorem The Third Main Theorem The Z*-Theorem Brauer Characters as Characters Blocks and Normal Subgroups Characters and Blocks in p-Solvable Groups Groups with Sylow p-Subgroups of Order p |
| title_auth | Characters and blocks of finite groups |
| title_exact_search | Characters and blocks of finite groups |
| title_full | Characters and blocks of finite groups G. Navarro |
| title_fullStr | Characters and blocks of finite groups G. Navarro |
| title_full_unstemmed | Characters and blocks of finite groups G. Navarro |
| title_short | Characters and blocks of finite groups |
| title_sort | characters and blocks of finite groups |
| topic | Finite groups Characters of groups Blocks (Group theory) Block Mathematik (DE-588)4146017-0 gnd Endliche Gruppe (DE-588)4014651-0 gnd Charakter Gruppentheorie (DE-588)4158438-7 gnd |
| topic_facet | Finite groups Characters of groups Blocks (Group theory) Block Mathematik Endliche Gruppe Charakter Gruppentheorie |
| url | https://doi.org/10.1017/CBO9780511526015 |
| work_keys_str_mv | AT navarrog charactersandblocksoffinitegroups AT navarrog charactersblocksoffinitegroups |