Character theory for the odd order theorem:
The famous and important theorem of W. Feit and J. G. Thompson states that every group of odd order is solvable, and the proof of this has roughly two parts. The first part appeared in Bender and Glauberman's Local Analysis for the Odd Order Theorem which was number 188 in this series. This boo...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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Cambridge
Cambridge University Press
2000
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| Schriftenreihe: | London Mathematical Society lecture note series
272 |
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| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | The famous and important theorem of W. Feit and J. G. Thompson states that every group of odd order is solvable, and the proof of this has roughly two parts. The first part appeared in Bender and Glauberman's Local Analysis for the Odd Order Theorem which was number 188 in this series. This book, first published in 2000, provides the character-theoretic second part and thus completes the proof. Also included here is a revision of a theorem of Suzuki on split BN-pairs of rank one; a prerequisite for the classification of finite simple groups. All researchers in group theory should have a copy of this book in their library |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015). - "First published in French by Astérisque as Théorie des charactéres dans le théoreme de Feit et Thompson and Le théorem de Bender-Suzuki II"--Title page verso |
| Beschreibung: | 1 online resource (vii, 154 pages) |
| ISBN: | 9780511565861 |
| DOI: | 10.1017/CBO9780511565861 |
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| 505 | 8 | 0 | |g pt. I. |g 1 |g 2 |g 3 |g 4 |g 5 |g 6 |g 7 |g 8 |g 9 |g 10 |g 11 |g 12 |g 13 |g 14 |t Character Theory for the Odd Order Theorem |t Preliminary Results from Character Theory |t The Dade Isometry |t T1-Subsets with Cyclic Normalizers |t The Dade Isometry for a Certain Type of Subgroup |t Coherence |t Some Coherence Theorems |t Non-existence of a Certain Type of Group of Odd Order |t Structure of a Minimal Simple Group of Odd Order |t On the Maximal Subgroups of G of Types II, III and IV. |t Maximal Subgroups of Types III, IV and V. |t Maximal Subgroups of Types III and IV. |t Maximal Subgroups of Type I. |t The Subgroups S and T. |t Non-existence of G |g pt. II. |g Ch. I. |g 1 |g 2 |t A Theorem of Suzuki |t General Properties of G. |t Consequences of Hypothesis (A1) |t The Structure of Q and of K. |
| 520 | |a The famous and important theorem of W. Feit and J. G. Thompson states that every group of odd order is solvable, and the proof of this has roughly two parts. The first part appeared in Bender and Glauberman's Local Analysis for the Odd Order Theorem which was number 188 in this series. This book, first published in 2000, provides the character-theoretic second part and thus completes the proof. Also included here is a revision of a theorem of Suzuki on split BN-pairs of rank one; a prerequisite for the classification of finite simple groups. All researchers in group theory should have a copy of this book in their library | ||
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Datensatz im Suchindex
| _version_ | 1804176883526402048 |
|---|---|
| any_adam_object | |
| author | Peterfalvi, Thomas |
| author2 | Sandling, Robert |
| author2_role | trl |
| author2_variant | r s rs |
| author_facet | Peterfalvi, Thomas Sandling, Robert |
| author_role | aut |
| author_sort | Peterfalvi, Thomas |
| author_variant | t p tp |
| building | Verbundindex |
| bvnumber | BV043941581 |
| classification_rvk | SI 320 SK 260 |
| collection | ZDB-20-CBO |
| contents | Character Theory for the Odd Order Theorem Preliminary Results from Character Theory The Dade Isometry T1-Subsets with Cyclic Normalizers The Dade Isometry for a Certain Type of Subgroup Coherence Some Coherence Theorems Non-existence of a Certain Type of Group of Odd Order Structure of a Minimal Simple Group of Odd Order On the Maximal Subgroups of G of Types II, III and IV. Maximal Subgroups of Types III, IV and V. Maximal Subgroups of Types III and IV. Maximal Subgroups of Type I. The Subgroups S and T. Non-existence of G A Theorem of Suzuki General Properties of G. Consequences of Hypothesis (A1) The Structure of Q and of K. |
| ctrlnum | (ZDB-20-CBO)CR9780511565861 (OCoLC)907963349 (DE-599)BVBBV043941581 |
| dewey-full | 511/.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511/.2 |
| dewey-search | 511/.2 |
| dewey-sort | 3511 12 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511565861 |
| format | Electronic eBook |
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| id | DE-604.BV043941581 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:16Z |
| institution | BVB |
| isbn | 9780511565861 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350551 |
| oclc_num | 907963349 |
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| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (vii, 154 pages) |
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| publishDate | 2000 |
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| publisher | Cambridge University Press |
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| series2 | London Mathematical Society lecture note series |
| spelling | Peterfalvi, Thomas Verfasser aut Character theory for the odd order theorem Thomas Peterfalvi ; translated by Robert Sandling Cambridge Cambridge University Press 2000 1 online resource (vii, 154 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 272 Title from publisher's bibliographic system (viewed on 05 Oct 2015). - "First published in French by Astérisque as Théorie des charactéres dans le théoreme de Feit et Thompson and Le théorem de Bender-Suzuki II"--Title page verso pt. I. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Character Theory for the Odd Order Theorem Preliminary Results from Character Theory The Dade Isometry T1-Subsets with Cyclic Normalizers The Dade Isometry for a Certain Type of Subgroup Coherence Some Coherence Theorems Non-existence of a Certain Type of Group of Odd Order Structure of a Minimal Simple Group of Odd Order On the Maximal Subgroups of G of Types II, III and IV. Maximal Subgroups of Types III, IV and V. Maximal Subgroups of Types III and IV. Maximal Subgroups of Type I. The Subgroups S and T. Non-existence of G pt. II. Ch. I. 1 2 A Theorem of Suzuki General Properties of G. Consequences of Hypothesis (A1) The Structure of Q and of K. The famous and important theorem of W. Feit and J. G. Thompson states that every group of odd order is solvable, and the proof of this has roughly two parts. The first part appeared in Bender and Glauberman's Local Analysis for the Odd Order Theorem which was number 188 in this series. This book, first published in 2000, provides the character-theoretic second part and thus completes the proof. Also included here is a revision of a theorem of Suzuki on split BN-pairs of rank one; a prerequisite for the classification of finite simple groups. All researchers in group theory should have a copy of this book in their library Feit-Thompson theorem Finite groups Characters of groups Feit-Thompson-Theorem (DE-588)4391595-4 gnd rswk-swf Charakter Gruppentheorie (DE-588)4158438-7 gnd rswk-swf Endliche Gruppe (DE-588)4014651-0 gnd rswk-swf Feit-Thompson-Theorem (DE-588)4391595-4 s Endliche Gruppe (DE-588)4014651-0 s Charakter Gruppentheorie (DE-588)4158438-7 s 1\p DE-604 Sandling, Robert trl Erscheint auch als Druckausgabe 978-0-521-64660-4 https://doi.org/10.1017/CBO9780511565861 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Peterfalvi, Thomas Character theory for the odd order theorem Character Theory for the Odd Order Theorem Preliminary Results from Character Theory The Dade Isometry T1-Subsets with Cyclic Normalizers The Dade Isometry for a Certain Type of Subgroup Coherence Some Coherence Theorems Non-existence of a Certain Type of Group of Odd Order Structure of a Minimal Simple Group of Odd Order On the Maximal Subgroups of G of Types II, III and IV. Maximal Subgroups of Types III, IV and V. Maximal Subgroups of Types III and IV. Maximal Subgroups of Type I. The Subgroups S and T. Non-existence of G A Theorem of Suzuki General Properties of G. Consequences of Hypothesis (A1) The Structure of Q and of K. Feit-Thompson theorem Finite groups Characters of groups Feit-Thompson-Theorem (DE-588)4391595-4 gnd Charakter Gruppentheorie (DE-588)4158438-7 gnd Endliche Gruppe (DE-588)4014651-0 gnd |
| subject_GND | (DE-588)4391595-4 (DE-588)4158438-7 (DE-588)4014651-0 |
| title | Character theory for the odd order theorem |
| title_alt | Character Theory for the Odd Order Theorem Preliminary Results from Character Theory The Dade Isometry T1-Subsets with Cyclic Normalizers The Dade Isometry for a Certain Type of Subgroup Coherence Some Coherence Theorems Non-existence of a Certain Type of Group of Odd Order Structure of a Minimal Simple Group of Odd Order On the Maximal Subgroups of G of Types II, III and IV. Maximal Subgroups of Types III, IV and V. Maximal Subgroups of Types III and IV. Maximal Subgroups of Type I. The Subgroups S and T. Non-existence of G A Theorem of Suzuki General Properties of G. Consequences of Hypothesis (A1) The Structure of Q and of K. |
| title_auth | Character theory for the odd order theorem |
| title_exact_search | Character theory for the odd order theorem |
| title_full | Character theory for the odd order theorem Thomas Peterfalvi ; translated by Robert Sandling |
| title_fullStr | Character theory for the odd order theorem Thomas Peterfalvi ; translated by Robert Sandling |
| title_full_unstemmed | Character theory for the odd order theorem Thomas Peterfalvi ; translated by Robert Sandling |
| title_short | Character theory for the odd order theorem |
| title_sort | character theory for the odd order theorem |
| topic | Feit-Thompson theorem Finite groups Characters of groups Feit-Thompson-Theorem (DE-588)4391595-4 gnd Charakter Gruppentheorie (DE-588)4158438-7 gnd Endliche Gruppe (DE-588)4014651-0 gnd |
| topic_facet | Feit-Thompson theorem Finite groups Characters of groups Feit-Thompson-Theorem Charakter Gruppentheorie Endliche Gruppe |
| url | https://doi.org/10.1017/CBO9780511565861 |
| work_keys_str_mv | AT peterfalvithomas charactertheoryfortheoddordertheorem AT sandlingrobert charactertheoryfortheoddordertheorem |