The Mathieu Groups
Jun. 2018 · Cambridge Tracts in Mathematics Boek 214 · Cambridge University Press
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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.
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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.
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