Geometric and Cohomological Methods in Group Theory PDF Download

Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Geometric and Cohomological Methods in Group Theory PDF full book. Access full book title Geometric and Cohomological Methods in Group Theory by Martin R. Bridson. Download full books in PDF and EPUB format.

Geometric and Cohomological Methods in Group Theory

Author: Martin R. Bridson
Publisher: Cambridge University Press
ISBN: 052175724X
Category : Mathematics
Languages : en
Pages : 331

Book Description
An extended tour through a selection of the most important trends in modern geometric group theory.

Geometric and Cohomological Methods in Group Theory

Author: Martin R. Bridson
Publisher: Cambridge University Press
ISBN: 052175724X
Category : Mathematics
Languages : en
Pages : 331

Book Description
An extended tour through a selection of the most important trends in modern geometric group theory.

Cohomological Methods in Group Theory

Author: Ararat Babakhanian
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 264

Book Description
This book is intended for students interested in learning the use of cohomology and homology theory in solving problems in group theory. Although cohomology groups of a groups were formally defined in the early 1940s, these groups in low dimensions had been studied earlier as part of the general body of theory of groups. In the last three decades cohomology of groups has played a central role in various branches of mathematics. This book provides readers with the basic tools in cohomology of groups and to illustrate their use in obtaining group theoretic results.

Cohomological Methods in Group Theory

Author: Ari Babakhanian
Publisher:
ISBN: 9780685159910
Category : Algebra, Homological
Languages : en
Pages : 241

Book Description

Cohomological Methods in Transformation Groups

Author: C. Allday
Publisher: Cambridge University Press
ISBN: 0521350220
Category : Mathematics
Languages : en
Pages : 486

Book Description
This is an account of the theory of certain types of compact transformation groups, namely those that are susceptible to study using ordinary cohomology theory and rational homotopy theory, which in practice means the torus groups and elementary abelian p-groups. The efforts of many mathematicians have combined to bring a depth of understanding to this area. However to make it reasonably accessible to a wide audience, the authors have streamlined the presentation, referring the reader to the literature for purely technical results and working in a simplified setting where possible. In this way the reader with a relatively modest background in algebraic topology and homology theory can penetrate rather deeply into the subject, whilst the book at the same time makes a useful reference for the more specialised reader.

Homotopy Theoretic Methods in Group Cohomology

Author: William G. Dwyer
Publisher: Birkhäuser
ISBN: 3034883560
Category : Mathematics
Languages : en
Pages : 106

Book Description
This book consists essentially of notes which were written for an Advanced Course on Classifying Spaces and Cohomology of Groups. The course took place at the Centre de Recerca Mathematica (CRM) in Bellaterra from May 27 to June 2, 1998 and was part of an emphasis semester on Algebraic Topology. It consisted of two parallel series of 6 lectures of 90 minutes each and was intended as an introduction to new homotopy theoretic methods in group cohomology. The first part of the book is concerned with methods of decomposing the classifying space of a finite group into pieces made of classifying spaces of appropriate subgroups. Such decompositions have been used with great success in the last 10-15 years in the homotopy theory of classifying spaces of compact Lie groups and p-compact groups in the sense of Dwyer and Wilkerson. For simplicity the emphasis here is on finite groups and on homological properties of various decompositions known as centralizer resp. normalizer resp. subgroup decomposition. A unified treatment of the various decompositions is given and the relations between them are explored. This is preceeded by a detailed discussion of basic notions such as classifying spaces, simplicial complexes and homotopy colimits.

Cohomology of Finite Groups

Author: Alejandro Adem
Publisher: Springer Science & Business Media
ISBN: 3662062828
Category : Mathematics
Languages : en
Pages : 333

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.

Geometric and Cohomological Methods in Group Theory PDF Download

Geometric and Cohomological Methods in Group Theory

Geometric and Cohomological Methods in Group Theory

Cohomological Methods in Group Theory

Cohomological Methods in Group Theory

Cohomological Methods in Transformation Groups

Homotopy Theoretic Methods in Group Cohomology

Cohomology of Finite Groups

Geometric and Cohomological Methods in Group Theory

Homological Group Theory

Cohomological Topics in Group Theory

Geometric and Cohomological Group Theory