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Geometry Of Sporadic Groups I
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Author :Aleksandr Anatolievich Ivanov Publisher :Cambridge University Press ISBN 13 :0521623499 Total Pages :306 pages Book Rating :4.5/5 (216 download)
Book Synopsis Geometry of Sporadic Groups: Volume 2, Representations and Amalgams by : Aleksandr Anatolievich Ivanov
Download or read book Geometry of Sporadic Groups: Volume 2, Representations and Amalgams written by Aleksandr Anatolievich Ivanov and published by Cambridge University Press. This book was released on 1999 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second in a two-volume set, for researchers into finite groups, geometry and algebraic combinatorics.
Book Synopsis Geometry of Sporadic Groups: Volume 1, Petersen and Tilde Geometries by : A. A. Ivanov
Download or read book Geometry of Sporadic Groups: Volume 1, Petersen and Tilde Geometries written by A. A. Ivanov and published by Cambridge University Press. This book was released on 1999-06-17 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Important monograph on finite group theory.
Author :Robert L. Jr. Griess Publisher :Springer Science & Business Media ISBN 13 :9783540627784 Total Pages :184 pages Book Rating :4.6/5 (277 download)
Book Synopsis Twelve Sporadic Groups by : Robert L. Jr. Griess
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.
Book Synopsis Sporadic Groups by : Michael Aschbacher
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.
Book Synopsis Classifying Spaces of Sporadic Groups by : David J. Benson
Download or read book Classifying Spaces of Sporadic Groups written by David J. Benson and published by American Mathematical Soc.. This book was released on 2008 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: For each of the 26 sporadic finite simple groups, the authors construct a 2-completed classifying space using a homotopy decomposition in terms of classifying spaces of suitable 2-local subgroups. This construction leads to an additive decomposition of the mod 2 group cohomology.
Book Synopsis Groups, Combinatorics and Geometry by : Martin W. Liebeck
Download or read book Groups, Combinatorics and Geometry written by Martin W. Liebeck and published by Cambridge University Press. This book was released on 1992-09-10 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a collection of papers on the subject of the classification of finite simple groups.
Book Synopsis Symmetry and the Monster by : Mark Ronan
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.
Book Synopsis Symmetric Generation of Groups by : Robert Curtis
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.
Book Synopsis The Classification of the Finite Simple Groups, Number 3 by : Daniel Gorenstein
Download or read book The Classification of the Finite Simple Groups, Number 3 written by Daniel Gorenstein and published by American Mathematical Soc.. This book was released on 1994 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examines the internal structure of the finite simple groups of Lie type, the finite alternating groups, and 26 sporadic finite simple groups, as well as their analogues. Emphasis is on the structure of local subgroups and their relationships with one another, rather than development of an abstract theory of simple groups. A foundation is laid for the development of specific properties of K-groups to be used in the inductive proof of the classification theorem. Highlights include statements and proofs of the Breol-Tits and Curtis-Tits theorems, and material on centralizers of semisimple involutions in groups of Lie type. For graduate students and research mathematicians. Annotation copyrighted by Book News, Inc., Portland, OR
Book Synopsis The Geometry of Heisenberg Groups by : Ernst Binz
Download or read book The Geometry of Heisenberg Groups written by Ernst Binz and published by American Mathematical Soc.. This book was released on 2008 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The three-dimensional Heisenberg group, being a quite simple non-commutative Lie group, appears prominently in various applications of mathematics. The goal of this book is to present basic geometric and algebraic properties of the Heisenberg group and its relation to other important mathematical structures (the skew field of quaternions, symplectic structures, and representations) and to describe some of its applications. In particular, the authors address such subjects as signal analysis and processing, geometric optics, and quantization. In each case, the authors present necessary details of the applied topic being considered." "This book manages to encompass a large variety of topics being easily accessible in its fundamentals. It can be useful to students and researchers working in mathematics and in applied mathematics."--BOOK JACKET.
Book Synopsis Groups and Geometries by : Lino Di Martino
Download or read book Groups and Geometries written by Lino Di Martino and published by Birkhäuser. This book was released on 2013-12-01 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: On September 1-7, 1996 a conference on Groups and Geometries took place in lovely Siena, Italy. It brought together experts and interested mathematicians from numerous countries. The scientific program centered around invited exposi tory lectures; there also were shorter research announcements, including talks by younger researchers. The conference concerned a broad range of topics in group theory and geometry, with emphasis on recent results and open problems. Special attention was drawn to the interplay between group-theoretic methods and geometric and combinatorial ones. Expanded versions of many of the talks appear in these Proceedings. This volume is intended to provide a stimulating collection of themes for a broad range of algebraists and geometers. Among those themes, represented within the conference or these Proceedings, are aspects of the following: 1. the classification of finite simple groups, 2. the structure and properties of groups of Lie type over finite and algebraically closed fields of finite characteristic, 3. buildings, and the geometry of projective and polar spaces, and 4. geometries of sporadic simple groups. We are grateful to the authors for their efforts in providing us with manuscripts in LaTeX. Barbara Priwitzer and Thomas Hintermann, Mathematics Editors of Birkhauser, have been very helpful and supportive throughout the preparation of this volume.
Book Synopsis Buildings and the Geometry of Diagrams by : Luigi A. Rosati
Download or read book Buildings and the Geometry of Diagrams written by Luigi A. Rosati and published by Springer. This book was released on 2006-11-14 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Applied Combinatorics on Words by : M. Lothaire
Download or read book Applied Combinatorics on Words written by M. Lothaire and published by Cambridge University Press. This book was released on 2005-07-11 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description
Book Synopsis Geometries and Groups by : M. Aigner
Download or read book Geometries and Groups written by M. Aigner and published by Springer. This book was released on 2006-11-14 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dedicated to Professor Dr. Hanfried Lenz on the Occasion of his 65th Birthday
Book Synopsis Overgroups of Sylow Subgroups in Sporadic Groups by : Michael Aschbacher
Download or read book Overgroups of Sylow Subgroups in Sporadic Groups written by Michael Aschbacher and published by American Mathematical Soc.. This book was released on 1986 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: The maximal overgroups of noncyclic Sylow subgroups of the sporadic finite simple groups are determined. Moreover a geometric structure is associated to this collection of overgroups, which is useful in the study of sporadic groups.
Book Synopsis Subgroup Complexes by : Stephen D. Smith
Download or read book Subgroup Complexes written by Stephen D. Smith and published by American Mathematical Soc.. This book was released on 2011-11-10 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended as an overview of a research area that combines geometries for groups (such as Tits buildings and generalizations), topological aspects of simplicial complexes from $p$-subgroups of a group (in the spirit of Brown, Quillen, and Webb), and combinatorics of partially ordered sets. The material is intended to serve as an advanced graduate-level text and partly as a general reference on the research area. The treatment offers optional tracks for the reader interested in buildings, geometries for sporadic simple groups, and $G$-equivariant equivalences and homology for subgroup complexes.
Book Synopsis Finite Geometry and Combinatorics by : Albrecht Beutelspacher
Download or read book Finite Geometry and Combinatorics written by Albrecht Beutelspacher and published by Cambridge University Press. This book was released on 1993 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Included here are articles from many of the leading practitioners in the field, including, for the first time, several distinguished Russian mathematicians. Many of the papers contain important new results, and the growing use of computer algebra packages in this area is also demonstrated.
