Author: A. A. Ivanov
Publisher: Cambridge University Press
ISBN: 1108637523
Category : Mathematics
Languages : en
Pages : 216
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.
The Mathieu Groups
Author: A. A. Ivanov
Publisher: Cambridge University Press
ISBN: 1108637523
Category : Mathematics
Languages : en
Pages : 216
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.
Publisher: Cambridge University Press
ISBN: 1108637523
Category : Mathematics
Languages : en
Pages : 216
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.
The Mathieu Groups
Author: A. A. Ivanov
Publisher: Cambridge University Press
ISBN: 1108429785
Category : Mathematics
Languages : en
Pages : 185
Book Description
The Mathieu Groups are presented in the context of finite geometry and the theory of group amalgams.
Publisher: Cambridge University Press
ISBN: 1108429785
Category : Mathematics
Languages : en
Pages : 185
Book Description
The Mathieu Groups are presented in the context of finite geometry and the theory of group amalgams.
Mathieu Groups
Author: Philip J. Greenberg
Publisher:
ISBN:
Category : Group theory
Languages : en
Pages : 200
Book Description
Publisher:
ISBN:
Category : Group theory
Languages : en
Pages : 200
Book Description
The Mathieu Groups
Author: Barbara Jean Loud
Publisher:
ISBN:
Category : Permutation groups
Languages : en
Pages : 160
Book Description
Publisher:
ISBN:
Category : Permutation groups
Languages : en
Pages : 160
Book Description
The Mathieu Groups
The Mathieu Groups
Permutation Groups
Author: John D. Dixon
Publisher: Springer Science & Business Media
ISBN: 1461207312
Category : Mathematics
Languages : en
Pages : 360
Book Description
Following the basic ideas, standard constructions and important examples in the theory of permutation groups, the book goes on to develop the combinatorial and group theoretic structure of primitive groups leading to the proof of the pivotal ONan-Scott Theorem which links finite primitive groups with finite simple groups. Special topics covered include the Mathieu groups, multiply transitive groups, and recent work on the subgroups of the infinite symmetric groups. With its many exercises and detailed references to the current literature, this text can serve as an introduction to permutation groups in a course at the graduate or advanced undergraduate level, as well as for self-study.
Publisher: Springer Science & Business Media
ISBN: 1461207312
Category : Mathematics
Languages : en
Pages : 360
Book Description
Following the basic ideas, standard constructions and important examples in the theory of permutation groups, the book goes on to develop the combinatorial and group theoretic structure of primitive groups leading to the proof of the pivotal ONan-Scott Theorem which links finite primitive groups with finite simple groups. Special topics covered include the Mathieu groups, multiply transitive groups, and recent work on the subgroups of the infinite symmetric groups. With its many exercises and detailed references to the current literature, this text can serve as an introduction to permutation groups in a course at the graduate or advanced undergraduate level, as well as for self-study.
Twelve Sporadic Groups
Author: Robert L. Jr. Griess
Publisher: Springer Science & Business Media
ISBN: 9783540627784
Category : Mathematics
Languages : en
Pages : 184
Book Description
The 20 sporadics involved in the Monster, the largest sporadic group, constitute the Happy Family. This book is a leisurely and rigorous study of two of their three generations. The level is suitable for graduate students with little background in general finite group theory, established mathematicians and mathematical physicists.
Publisher: Springer Science & Business Media
ISBN: 9783540627784
Category : Mathematics
Languages : en
Pages : 184
Book Description
The 20 sporadics involved in the Monster, the largest sporadic group, constitute the Happy Family. This book is a leisurely and rigorous study of two of their three generations. The level is suitable for graduate students with little background in general finite group theory, established mathematicians and mathematical physicists.
On the Simplicity of the Mathieu Groups
Rank Three Extensions of the Mathieu Groups
Author: Willard David Altman
Publisher:
ISBN:
Category : Mathieu groups
Languages : en
Pages : 398
Book Description
Publisher:
ISBN:
Category : Mathieu groups
Languages : en
Pages : 398
Book Description