National Science Library of Georgia

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The Mathieu groups / A. A. Ivanov.

By: Material type: TextTextSeries: Cambridge tracts in mathematics ; 214.Publisher: Cambridge : Cambridge University Press, 2018Description: 1 online resource (xi, 171 pages) : digital, PDF file(s)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781108555289 (ebook)
Subject(s): Additional physical formats: Print version: : No titleDDC classification:
  • 512/.23 23
LOC classification:
  • QA171 .I93 2018
Online resources: Summary: 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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Title from publisher's bibliographic system (viewed on 28 Jun 2018).

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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