TY - BOOK AU - Ivanov,A.A. TI - The Mathieu groups T2 - Cambridge tracts in mathematics SN - 9781108555289 (ebook) AV - QA171 .I93 2018 U1 - 512/.23 23 PY - 2018/// CY - Cambridge PB - Cambridge University Press KW - Mathieu groups KW - Permutation groups KW - Finite groups N1 - Title from publisher's bibliographic system (viewed on 28 Jun 2018) N2 - 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 UR - https://doi.org/10.1017/9781108555289 ER -