Download or read book The Mathieu Groups written by A. A. Ivanov and published by Cambridge University Press. This book was released on 2018-06-21 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book The Mathieu Groups written by A. A. Ivanov and published by Cambridge University Press. This book was released on 2018-06-21 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathieu Groups are presented in the context of finite geometry and the theory of group amalgams.

Download or read book Mathieu Groups written by Philip J. Greenberg and published by . This book was released on 1973 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Mathieu Groups written by Barbara Jean Loud and published by . This book was released on 1969 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Mathieu Groups written by Joseph A. Gallian and published by . This book was released on 1968 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Permutation Groups written by John D. Dixon and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Twelve Sporadic Groups written by Robert L. Jr. Griess and published by Springer Science & Business Media. This book was released on 1998-08-19 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book The Mathieu Groups written by Jean Ann Hansen and published by . This book was released on 2000 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Symmetry and the Monster written by Mark Ronan and published by Oxford University Press. This book was released on 2007-07-26 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: In an exciting, fast-paced historical narrative ranging across two centuries, Ronan takes readers on an exhilarating tour of this final mathematical quest to understand symmetry.

Download or read book Sporadic Groups written by Michael Aschbacher and published by Cambridge University Press. This book was released on 1994-03-25 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sporadic Groups is the first step in a programme to provide a uniform, self-contained treatment of the foundational material on the sporadic finite simple groups. The classification of the finite simple groups is one of the premier achievements of modern mathematics. The classification demonstrates that each finite simple group is either a finite analogue of a simple Lie group or one of 26 pathological sporadic groups. Sporadic Groups provides for the first time a self-contained treatment of the foundations of the theory of sporadic groups accessible to mathematicians with a basic background in finite groups such as in the author's text Finite Group Theory. Introductory material useful for studying the sporadics, such as a discussion of large extraspecial 2-subgroups and Tits' coset geometries, opens the book. A construction of the Mathieu groups as the automorphism groups of Steiner systems follows. The Golay and Todd modules, and the 2-local geometry for M24 are discussed. This is followed by the standard construction of Conway of the Leech lattice and the Conway group. The Monster is constructed as the automorphism group of the Griess algebra using some of the best features of the approaches of Griess, Conway, and Tits, plus a few new wrinkles. Researchers in finite group theory will find this text invaluable. The subjects treated will interest combinatorists, number theorists, and conformal field theorists.

Download or read book On the Simplicity of the Mathieu Groups written by M.-L. Lang and published by . This book was released on 1991 with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book An Introduction to Algebraic Topology written by Joseph J. Rotman and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: A clear exposition, with exercises, of the basic ideas of algebraic topology. Suitable for a two-semester course at the beginning graduate level, it assumes a knowledge of point set topology and basic algebra. Although categories and functors are introduced early in the text, excessive generality is avoided, and the author explains the geometric or analytic origins of abstract concepts as they are introduced.

Download or read book Rank Three Extensions of the Mathieu Groups written by Willard David Altman and published by . This book was released on 1975 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Symmetric Generation of Groups written by Robert Curtis and published by Cambridge University Press. This book was released on 2007-07-05 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive text which develops the notion of symmetric generation and applies the technique to sporadic simple groups.

Download or read book On the 4 dimensional 2 modular Representation of the Mathieu Groups written by Ahlam Y. al-Banna and published by . This book was released on 1983 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book On the Mathieu Groups M inferior Twelve and M inferior Twenty Four and Related Steiner Systems written by Michelle Louise Ashworth and published by . This book was released on 1997 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book On the 44 dimensional 2 modular Representation of the Mathieu Groups written by Ahlam Y. Al-Banna and published by . This book was released on 1984 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: