Author: A. A. IvanovPublisher: Cambridge University Press
ISBN: 0521413621
Category : Mathematics
Languages : en
Pages : 434
Book Description
Important monograph on finite group theory.
Geometry of Sporadic Groups: Volume 1, Petersen and Tilde Geometries
Author: A. A. IvanovPublisher: Cambridge University Press
ISBN: 0521413621
Category : Mathematics
Languages : en
Pages : 434
Book Description
Important monograph on finite group theory.
Geometry of Sporadic Groups
Author: Alexander A. IvanovGeometry of Sporadic Groups I
Author: A. A. IvanovPublisher:
ISBN: 9780511953989
Category : Electronic books
Languages : en
Pages : 408
Book Description
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 non-split 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 which 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 indentification of Y-groups is given. This is an essential purchase for researchers into finite group theory, finite geometries and algebraic combinatorics.
Group Theory and Computation
Author: N.S. Narasimha SastryPublisher: Springer
ISBN: 9811320470
Category : Mathematics
Languages : en
Pages : 213
Book Description
This book is a blend of recent developments in theoretical and computational aspects of group theory. It presents the state-of-the-art research topics in different aspects of group theory, namely, character theory, representation theory, integral group rings, the Monster simple group, computational algorithms and methods on finite groups, finite loops, periodic groups, Camina groups and generalizations, automorphisms and non-abelian tensor product of groups. Presenting a collection of invited articles by some of the leading and highly active researchers in the theory of finite groups and their representations and the Monster group, with a focus on computational aspects, this book is of particular interest to researchers in the area of group theory and related fields of mathematics.
Subgroup Complexes
Author: Stephen D. SmithPublisher: American Mathematical Soc.
ISBN: 0821805010
Category : Mathematics
Languages : en
Pages : 378
Book Description
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.
Buildings
Author: Peter AbramenkoPublisher: Springer Science & Business Media
ISBN: 0387788352
Category : Mathematics
Languages : en
Pages : 758
Book Description
This book treats Jacques Tit's beautiful theory of buildings, making that theory accessible to readers with minimal background. It covers all three approaches to buildings, so that the reader can choose to concentrate on one particular approach. Beginners can use parts of the new book as a friendly introduction to buildings, but the book also contains valuable material for the active researcher. This book is suitable as a textbook, with many exercises, and it may also be used for self-study.
CRC Concise Encyclopedia of Mathematics
Author: Eric W. WeissteinPublisher: CRC Press
ISBN: 1420035223
Category : Mathematics
Languages : en
Pages : 3253
Book Description
Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d
Classifying Spaces of Sporadic Groups
Author: David J. BensonPublisher: American Mathematical Soc.
ISBN: 0821844741
Category : Mathematics
Languages : en
Pages : 310
Book Description
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.
First International Congress of Chinese Mathematicians
Author: Stephen Shing-Toung YauPublisher: American Mathematical Soc.
ISBN: 0821826522
Category : Mathematics
Languages : en
Pages : 596
Book Description
The International Congress of Mathematicians was an historical event that was held at the Morningside Center of Mathematics of the Chinese Academy of Sciences (Beijing). It was the first occasion where Chinese mathematicians from all over the world gathered to present their research. The Morningside Mathematics lectures were given by R. Borcherds, J. Coates, R. Graham, and D. Stroock. Other distinguished speakers included J.-P. Bourguignon, J. Jöst, M. Taylor, and S. L. Lee. Topics covered in the volume include algebra and representation theory, algebraic geometry, number theory and automorphic forms, Riemannian geometry and geometric analysis, mathematical physics, topology, complex analysis and complex geometry, computational mathematics, and combinatorics. Titles in this series are copublished with International Press, Cambridge, MA.
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