Mathieu Groups

Informationen zum Autor A. A. Ivanov is Professor of Pure Mathematics in the Department of Mathematics at Imperial College London. His main research interest is the sporadic simple groups, and he has published four books on the subject. Klappentext The Mathieu Groups are presented in the context of finite geometry and the theory of group amalgams. Zusammenfassung This book provides a wealth of insight into the fascinating theory surrounding the Mathieu groups. In particular! the author introduces the theory of group amalgams and gives a systematic account of 'small groups'. Postgraduate students and researchers will enjoy this unique geometric treatment of these well-known finite simple groups. Inhaltsverzeichnis 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.

Product details

• Authors: A. A. Ivanov, A. A. (Imperial College London) Ivanov, Ivanov A. A.
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 31.08.2018
• EAN: 9781108429788
• ISBN: 978-1-108-42978-8
• No. of pages: 180
• Series: Cambridge Tracts in Mathematics; Cambridge Tracts in Mathematic; Cambridge Tracts in Mathematics; Cambridge Tracts in Mathematic
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra; Algebra, MATHEMATICS / Group Theory, MATHEMATICS / Discrete Mathematics, MATHEMATICS / Algebra / General, Discrete Mathematics, Groups & group theory, Groups and group theory