A. A. Ivanov,
A. A. (Imperial College London) Ivanov
Cambridge University Press
e druk, 2018
9781108429788
The Mathieu Groups
Specificaties
Gebonden, 180 blz.
|
Engels
Cambridge University Press |
e druk, 2018
ISBN13: 9781108429788
Rubricering
Onderdeel van serie
Cambridge Tracts in
Levertijd ongeveer 8 werkdagen
Samenvatting
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.
Specificaties
ISBN13:9781108429788
Taal:Engels
Bindwijze:Gebonden
Aantal pagina's:180
Uitgever:Cambridge University Press
Serie:Cambridge Tracts in
Inhoudsopgave
1. The Mathieu group M24 as we knew it; 2. Amalgam method; 3. L4(2) in two incarnations and L3(4); 4. From L5(2) to the Mathieu amalgam; 5. M24 as universal completion; 6. Maximal subgroups; 7. 45-representation of M24; 8. The Held group; 9. Inevitability of Mathieu groups; 10. Locally projective graphs and amalgams; Index.