Download or read book Geometry of Sporadic Groups written by Ivanov A a and published by . This book was released on 2013-11-21 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Important monograph on finite group theory.
Download or read book Geometry of Sporadic Groups I written by A. A. Ivanov and published by . This book was released on 1999 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Important monograph on finite group theory.
Download or read book Geometry of Sporadic Groups written by A. A. Ivanov and published by . This book was released on 1999 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 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.
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.
Download or read book Geometry of Sporadic Groups written by Alexander A. Ivanov and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geometry of Sporadic Groups written by A. A. Ivanov and published by . This book was released on 1999 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geometry of Sporadic Groups written by Aleksandr Anatolievich Ivanov and published by . This book was released on 1999 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Important monograph on finite group theory.
Download or read book Geometry of Sporadic Groups II written by Aleksandr Anatolievich Ivanov and published by . This book was released on 2002 with total page 286 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.
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 Geometry of Sporadic Groups Volume 2 Representations and Amalgams written by A. A. Ivanov and published by Cambridge University Press. This book was released on 2002-03-14 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second volume in a two-volume set provides a complete self-contained proof of the classification of geometries associated with sporadic simple groups: Petersen and tilde geometries. It contains a study of the representations of the geometries under consideration in GF(2)-vector spaces as well as in some non-Abelian groups. The central part is the classification of the amalgam of maximal parabolics, associated with a flag transitive action on a Petersen or tilde geometry. By way of their systematic treatment of group amalgams, the authors establish a deep and important mathematical result.
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 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first volume in a two-volume set, which will provide the complete proof of classification of two important classes of geometries, closely related to each other: Petersen and tilde geometries. There is an infinite family of tilde geometries associated with nonsplit extensions of symplectic groups over a field of two elements. Besides that there are twelve exceptional Petersen and tilde geometries. These exceptional geometries are related to sporadic simple groups, including the famous Monster group and this volume gives a construction for each of the Petersen and tilde geometries that provides an independent existence proof for the corresponding automorphism group. Important applications of Petersen and tilde geometries are considered, including the so-called Y-presentations for the Monster and related groups, and a complete identification of Y-groups is given. This is an essential purchase for researchers in finite group theory, finite geometries and algebraic combinatorics.
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.
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.
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.
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.
