Character theory and the McKay conjecture:
The McKay conjecture is the origin of the counting conjectures in the representation theory of finite groups. This book gives a comprehensive introduction to these conjectures, while assuming minimal background knowledge. Character theory is explored in detail along the way, from the very basics to...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2018
|
| Schriftenreihe: | Cambridge studies in advanced mathematics
175 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBA01 UBR01 Volltext |
| Zusammenfassung: | The McKay conjecture is the origin of the counting conjectures in the representation theory of finite groups. This book gives a comprehensive introduction to these conjectures, while assuming minimal background knowledge. Character theory is explored in detail along the way, from the very basics to the state of the art. This includes not only older theorems, but some brand new ones too. New, elegant proofs bring the reader up to date on progress in the field, leading to the final proof that if all finite simple groups satisfy the inductive McKay condition, then the McKay conjecture is true. Open questions are presented throughout the book, and each chapter ends with a list of problems, with varying degrees of difficulty |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 16 May 2018) |
| Beschreibung: | 1 Online-Ressource (xviii, 234 Seiten) |
| ISBN: | 9781108552790 |
| DOI: | 10.1017/9781108552790 |
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| 520 | |a The McKay conjecture is the origin of the counting conjectures in the representation theory of finite groups. This book gives a comprehensive introduction to these conjectures, while assuming minimal background knowledge. Character theory is explored in detail along the way, from the very basics to the state of the art. This includes not only older theorems, but some brand new ones too. New, elegant proofs bring the reader up to date on progress in the field, leading to the final proof that if all finite simple groups satisfy the inductive McKay condition, then the McKay conjecture is true. Open questions are presented throughout the book, and each chapter ends with a list of problems, with varying degrees of difficulty | ||
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Datensatz im Suchindex
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| author | Navarro, Gabriel |
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| author_sort | Navarro, Gabriel |
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| dewey-full | 512/.23 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.23 |
| dewey-search | 512/.23 |
| dewey-sort | 3512 223 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/9781108552790 |
| format | Electronic eBook |
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| id | DE-604.BV045237100 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T08:12:24Z |
| institution | BVB |
| isbn | 9781108552790 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030625370 |
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| physical | 1 Online-Ressource (xviii, 234 Seiten) |
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| publishDate | 2018 |
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| publisher | Cambridge University Press |
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| series | Cambridge studies in advanced mathematics |
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| spelling | Navarro, Gabriel Verfasser (DE-588)1161469222 aut Character theory and the McKay conjecture Gabriel Navarro Cambridge Cambridge University Press 2018 1 Online-Ressource (xviii, 234 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge studies in advanced mathematics 175 Title from publisher's bibliographic system (viewed on 16 May 2018) The McKay conjecture is the origin of the counting conjectures in the representation theory of finite groups. This book gives a comprehensive introduction to these conjectures, while assuming minimal background knowledge. Character theory is explored in detail along the way, from the very basics to the state of the art. This includes not only older theorems, but some brand new ones too. New, elegant proofs bring the reader up to date on progress in the field, leading to the final proof that if all finite simple groups satisfy the inductive McKay condition, then the McKay conjecture is true. Open questions are presented throughout the book, and each chapter ends with a list of problems, with varying degrees of difficulty Finite groups Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Charakter Gruppentheorie (DE-588)4158438-7 gnd rswk-swf Charakter Gruppentheorie (DE-588)4158438-7 s Gruppentheorie (DE-588)4072157-7 s DE-604 Erscheint auch als Druck-Ausgabe, hardback 9781108428446 Cambridge studies in advanced mathematics 175 (DE-604)BV044781283 175 https://doi.org/10.1017/9781108552790 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Navarro, Gabriel Character theory and the McKay conjecture Cambridge studies in advanced mathematics Finite groups Gruppentheorie (DE-588)4072157-7 gnd Charakter Gruppentheorie (DE-588)4158438-7 gnd |
| subject_GND | (DE-588)4072157-7 (DE-588)4158438-7 |
| title | Character theory and the McKay conjecture |
| title_auth | Character theory and the McKay conjecture |
| title_exact_search | Character theory and the McKay conjecture |
| title_full | Character theory and the McKay conjecture Gabriel Navarro |
| title_fullStr | Character theory and the McKay conjecture Gabriel Navarro |
| title_full_unstemmed | Character theory and the McKay conjecture Gabriel Navarro |
| title_short | Character theory and the McKay conjecture |
| title_sort | character theory and the mckay conjecture |
| topic | Finite groups Gruppentheorie (DE-588)4072157-7 gnd Charakter Gruppentheorie (DE-588)4158438-7 gnd |
| topic_facet | Finite groups Gruppentheorie Charakter Gruppentheorie |
| url | https://doi.org/10.1017/9781108552790 |
| volume_link | (DE-604)BV044781283 |
| work_keys_str_mv | AT navarrogabriel charactertheoryandthemckayconjecture |