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The Mathieu Groups
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About This Book
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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Yes, you can access The Mathieu Groups by A. A. Ivanov in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebra. We have over one million books available in our catalogue for you to explore.
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Table of contents
- Cover
- Half-title page
- Series page
- Title page
- Copyright page
- Dedication
- Contents
- Preface
- 1 The Mathieu Group M[sub(24)] As We Knew It
- 2 The Amalgam Method
- 3 L[sub(4)](2) in Two Incarnations and L[sub(3)](4)
- 4 From L[sub(5)](2) to the Mathieu Amalgam
- 5 M[sub(24)] As Universal Completion
- 6 Maximal Subgroups
- 7 The 45-Representation of M[sub(24)]
- 8 The Held Group
- 9 The Inevitability of Mathieu Groups
- 10 Locally Projective Graphs and Amalgams
- References
- Index