On the Homology of General Linear Groups Over Field Extensions
Author : James Stuart Tanton
Publisher :
Page : 102 pages
File Size : 28,60 MB
Release : 1994
Category :
ISBN :
Homology of Linear Groups
Author : Kevin P. Knudson
Publisher : Birkhäuser
Page : 197 pages
File Size : 38,86 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 3034883382
Book Description
Daniel Quillen's definition of the higher algebraic K-groups of a ring emphasized the importance of computing the homology of groups of matrices. This text traces the development of this theory from Quillen's fundamental calculation. It presents the stability theorems and low-dimensional results of A. Suslin, W. van der Kallen and others are presented. Coverage also examines the Friedlander-Milnor-conjecture concerning the homology of algebraic groups made discrete.
The Characters of General Linear Groups Over a Finite Field
Author :
Publisher :
Page : 0 pages
File Size : 11,38 MB
Release : 2024
Category :
ISBN :
Book Description
Linear groups
Author : Leonard Eugene Dickson
Publisher :
Page : 334 pages
File Size : 14,57 MB
Release : 1901
Category : Galois theory
ISBN :
Book Description
Cohomology of Finite Groups
Author : Alejandro Adem
Publisher : Springer Science & Business Media
Page : 333 pages
File Size : 39,28 MB
Release : 2013-06-29
Category : Mathematics
ISBN : 3662062828
Book Description
The cohomology of groups has, since its beginnings in the 1920s and 1930s, been the stage for significant interaction between algebra and topology and has led to the creation of important new fields in mathematics, like homological algebra and algebraic K-theory. This is the first book to deal comprehensively with the cohomology of finite groups: it introduces the most important and useful algebraic and topological techniques, and describes the interplay of the subject with those of homotopy theory, representation theory and group actions. The combination of theory and examples, together with the techniques for computing the cohomology of important classes of groups including symmetric groups, alternating groups, finite groups of Lie type, and some of the sporadic simple groups, enable readers to acquire an in-depth understanding of group cohomology and its extensive applications.
On the Representations of the Symmetric Group and the General Linear Group Over a Finite Field
Author : Jonathan H.T. Hsu
Publisher :
Page : 0 pages
File Size : 15,43 MB
Release : 2004
Category :
ISBN :
Book Description
Cohomology of Groups
Author : Kenneth S. Brown
Publisher : Springer Science & Business Media
Page : 318 pages
File Size : 15,57 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1468493272
Book Description
Aimed at second year graduate students, this text introduces them to cohomology theory (involving a rich interplay between algebra and topology) with a minimum of prerequisites. No homological algebra is assumed beyond what is normally learned in a first course in algebraic topology, and the basics of the subject, as well as exercises, are given prior to discussion of more specialized topics.
Field Extensions and Galois Theory
Author : Julio R. Bastida
Publisher : Cambridge University Press
Page : 354 pages
File Size : 36,15 MB
Release : 1984-12-28
Category : Mathematics
ISBN : 9780521302425
Book Description
This 1984 book aims to make the general theory of field extensions accessible to any reader with a modest background in groups, rings and vector spaces. Galois theory is regarded amongst the central and most beautiful parts of algebra and its creation marked the culmination of generations of investigation.
A Course in Finite Group Representation Theory
Author : Peter Webb
Publisher : Cambridge University Press
Page : 339 pages
File Size : 27,27 MB
Release : 2016-08-19
Category : Mathematics
ISBN : 1107162394
Book Description
This graduate-level text provides a thorough grounding in the representation theory of finite groups over fields and rings. The book provides a balanced and comprehensive account of the subject, detailing the methods needed to analyze representations that arise in many areas of mathematics. Key topics include the construction and use of character tables, the role of induction and restriction, projective and simple modules for group algebras, indecomposable representations, Brauer characters, and block theory. This classroom-tested text provides motivation through a large number of worked examples, with exercises at the end of each chapter that test the reader's knowledge, provide further examples and practice, and include results not proven in the text. Prerequisites include a graduate course in abstract algebra, and familiarity with the properties of groups, rings, field extensions, and linear algebra.
Homology of Classical Groups Over Finite Fields and Their Associated Infinite Loop Spaces
Author : Z. Fiedorowicz
Publisher : Springer
Page : 441 pages
File Size : 36,72 MB
Release : 2006-11-15
Category : Mathematics
ISBN : 3540357351
