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  1. Home
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  3. The Mathieu Groups
  • Cited by 5
Publisher:
Cambridge University Press
Online publication date:
June 2018
Print publication year:
2018
Online ISBN:
9781108555289
DOI:
https://doi.org/10.1017/9781108555289
Subjects:
Mathematics (general), Mathematics, Discrete Mathematics Information Theory and Coding, Algebra
Series:
Cambridge Tracts in Mathematics (214)
Information

Book description

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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