The maximal subgroups of the low-dimensional finite classical groups:
This book classifies the maximal subgroups of the almost simple finite classical groups in dimension up to 12; it also describes the maximal subgroups of the almost simple finite exceptional groups with socle one of Sz(q), G2(q), 2G2(q) or 3D4(q). Theoretical and computational tools are used through...
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| Main Authors: | , , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2013
|
| Series: | London Mathematical Society lecture note series
407 |
| Subjects: | |
| Online Access: | DE-12 DE-92 DE-703 URL des Erstveröffentlichers |
| Summary: | This book classifies the maximal subgroups of the almost simple finite classical groups in dimension up to 12; it also describes the maximal subgroups of the almost simple finite exceptional groups with socle one of Sz(q), G2(q), 2G2(q) or 3D4(q). Theoretical and computational tools are used throughout, with downloadable Magma code provided. The exposition contains a wealth of information on the structure and action of the geometric subgroups of classical groups, but the reader will also encounter methods for analysing the structure and maximality of almost simple subgroups of almost simple groups. Additionally, this book contains detailed information on using Magma to calculate with representations over number fields and finite fields. Featured within are previously unseen results and over 80 tables describing the maximal subgroups, making this volume an essential reference for researchers. It also functions as a graduate-level textbook on finite simple groups, computational group theory and representation theory |
| Physical Description: | 1 Online-Ressource (xiv, 438 Seiten) Diagramme |
| ISBN: | 9781139192576 |
| DOI: | 10.1017/CBO9781139192576 |
Staff View
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| id | DE-604.BV043941789 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-26T11:01:56Z |
| institution | BVB |
| isbn | 9781139192576 |
| language | English |
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| physical | 1 Online-Ressource (xiv, 438 Seiten) Diagramme |
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| publishDate | 2013 |
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| publisher | Cambridge University Press |
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| series | London Mathematical Society lecture note series |
| series2 | London Mathematical Society lecture note series |
| spelling | Bray, John N. Verfasser aut The maximal subgroups of the low-dimensional finite classical groups John N. Bray, Derek F. Holt, Colva M. Roney-Dougal Cambridge Cambridge University Press 2013 1 Online-Ressource (xiv, 438 Seiten) Diagramme txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 407 This book classifies the maximal subgroups of the almost simple finite classical groups in dimension up to 12; it also describes the maximal subgroups of the almost simple finite exceptional groups with socle one of Sz(q), G2(q), 2G2(q) or 3D4(q). Theoretical and computational tools are used throughout, with downloadable Magma code provided. The exposition contains a wealth of information on the structure and action of the geometric subgroups of classical groups, but the reader will also encounter methods for analysing the structure and maximality of almost simple subgroups of almost simple groups. Additionally, this book contains detailed information on using Magma to calculate with representations over number fields and finite fields. Featured within are previously unseen results and over 80 tables describing the maximal subgroups, making this volume an essential reference for researchers. It also functions as a graduate-level textbook on finite simple groups, computational group theory and representation theory Mathematisches Modell Finite groups Finite groups / Mathematical models Maximal subgroups Maximal subgroups / Mathematical models Maximale Untergruppe (DE-588)4169158-1 gnd rswk-swf Endliche Gruppe (DE-588)4014651-0 gnd rswk-swf Endliche Gruppe (DE-588)4014651-0 s Maximale Untergruppe (DE-588)4169158-1 s DE-604 Holt, Derek F. Verfasser (DE-588)1037278720 aut Roney-Dougal, Colva Mary Verfasser (DE-588)1197307222 aut Erscheint auch als Druck-Ausgabe 978-0-521-13860-4 London Mathematical Society lecture note series 407 (DE-604)BV044784209 407 https://doi.org/10.1017/CBO9781139192576 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Bray, John N. Holt, Derek F. Roney-Dougal, Colva Mary The maximal subgroups of the low-dimensional finite classical groups London Mathematical Society lecture note series Mathematisches Modell Finite groups Finite groups / Mathematical models Maximal subgroups Maximal subgroups / Mathematical models Maximale Untergruppe (DE-588)4169158-1 gnd Endliche Gruppe (DE-588)4014651-0 gnd |
| subject_GND | (DE-588)4169158-1 (DE-588)4014651-0 |
| title | The maximal subgroups of the low-dimensional finite classical groups |
| title_auth | The maximal subgroups of the low-dimensional finite classical groups |
| title_exact_search | The maximal subgroups of the low-dimensional finite classical groups |
| title_full | The maximal subgroups of the low-dimensional finite classical groups John N. Bray, Derek F. Holt, Colva M. Roney-Dougal |
| title_fullStr | The maximal subgroups of the low-dimensional finite classical groups John N. Bray, Derek F. Holt, Colva M. Roney-Dougal |
| title_full_unstemmed | The maximal subgroups of the low-dimensional finite classical groups John N. Bray, Derek F. Holt, Colva M. Roney-Dougal |
| title_short | The maximal subgroups of the low-dimensional finite classical groups |
| title_sort | the maximal subgroups of the low dimensional finite classical groups |
| topic | Mathematisches Modell Finite groups Finite groups / Mathematical models Maximal subgroups Maximal subgroups / Mathematical models Maximale Untergruppe (DE-588)4169158-1 gnd Endliche Gruppe (DE-588)4014651-0 gnd |
| topic_facet | Mathematisches Modell Finite groups Finite groups / Mathematical models Maximal subgroups Maximal subgroups / Mathematical models Maximale Untergruppe Endliche Gruppe |
| url | https://doi.org/10.1017/CBO9781139192576 |
| volume_link | (DE-604)BV044784209 |
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