The Mathieu groups:
The Mathieu groups have many fascinating and unusual characteristics and have been studied at length since their discovery. This book provides a unique, geometric perspective on these groups. The amalgam method is explained and used to construct M24, enabling readers to learn the method through its...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2018
|
| Series: | Cambridge tracts in mathematics
214 |
| Subjects: | |
| Online Access: | BSB01 FHN01 TUM01 TUM02 UBA01 UBR01 Volltext |
| Summary: | The Mathieu groups have many fascinating and unusual characteristics and have been studied at length since their discovery. This book provides a unique, geometric perspective on these groups. The amalgam method is explained and used to construct M24, enabling readers to learn the method through its application to a familiar example. The same method is then used to construct, among others, the octad graph, the Witt design and the Golay code. This book also provides a systematic account of 'small groups', and serves as a useful reference for the Mathieu groups. The material is presented in such a way that it guides the reader smoothly and intuitively through the process, leading to a deeper understanding of the topic |
| Physical Description: | 1 Online-Ressource (xi, 171 Seiten) |
| ISBN: | 9781108555289 |
| DOI: | 10.1017/9781108555289 |
Staff View
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T08:08:40Z |
| institution | BVB |
| isbn | 9781108555289 |
| language | English |
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| physical | 1 Online-Ressource (xi, 171 Seiten) |
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| publishDate | 2018 |
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| spelling | Ivanov, Aleksandr A. 1958- Verfasser (DE-588)129886661 aut The Mathieu groups A. A. Ivanov Cambridge Cambridge University Press 2018 1 Online-Ressource (xi, 171 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge tracts in mathematics 214 The Mathieu groups have many fascinating and unusual characteristics and have been studied at length since their discovery. This book provides a unique, geometric perspective on these groups. The amalgam method is explained and used to construct M24, enabling readers to learn the method through its application to a familiar example. The same method is then used to construct, among others, the octad graph, the Witt design and the Golay code. This book also provides a systematic account of 'small groups', and serves as a useful reference for the Mathieu groups. The material is presented in such a way that it guides the reader smoothly and intuitively through the process, leading to a deeper understanding of the topic Mathieu groups Permutation groups Finite groups Mathieu-Gruppe (DE-588)4169114-3 gnd rswk-swf Amalgam Gruppentheorie (DE-588)4272864-2 gnd rswk-swf Mathieu-Gruppe (DE-588)4169114-3 s Amalgam Gruppentheorie (DE-588)4272864-2 s DE-604 Erscheint auch als Druck-Ausgabe, Hardcover 978-1-108-42978-8 Cambridge tracts in mathematics 214 (DE-604)BV047362617 214 https://doi.org/10.1017/9781108555289 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Ivanov, Aleksandr A. 1958- The Mathieu groups Cambridge tracts in mathematics Mathieu groups Permutation groups Finite groups Mathieu-Gruppe (DE-588)4169114-3 gnd Amalgam Gruppentheorie (DE-588)4272864-2 gnd |
| subject_GND | (DE-588)4169114-3 (DE-588)4272864-2 |
| title | The Mathieu groups |
| title_auth | The Mathieu groups |
| title_exact_search | The Mathieu groups |
| title_full | The Mathieu groups A. A. Ivanov |
| title_fullStr | The Mathieu groups A. A. Ivanov |
| title_full_unstemmed | The Mathieu groups A. A. Ivanov |
| title_short | The Mathieu groups |
| title_sort | the mathieu groups |
| topic | Mathieu groups Permutation groups Finite groups Mathieu-Gruppe (DE-588)4169114-3 gnd Amalgam Gruppentheorie (DE-588)4272864-2 gnd |
| topic_facet | Mathieu groups Permutation groups Finite groups Mathieu-Gruppe Amalgam Gruppentheorie |
| url | https://doi.org/10.1017/9781108555289 |
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