Cohomological Methods In Group Theory PDF Download
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Author | : Martin R. Bridson |
Publisher | : Cambridge University Press |
Total Pages | : 331 |
Release | : 2009-10-29 |
Genre | : Mathematics |
ISBN | : 052175724X |
Download Geometric and Cohomological Methods in Group Theory Book in PDF, ePub and Kindle
An extended tour through a selection of the most important trends in modern geometric group theory.
Author | : Ararat Babakhanian |
Publisher | : |
Total Pages | : 264 |
Release | : 1972 |
Genre | : Mathematics |
ISBN | : |
Download Cohomological Methods in Group Theory Book in PDF, ePub and Kindle
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.
Author | : Ari Babakhanian |
Publisher | : |
Total Pages | : 241 |
Release | : 1972 |
Genre | : Algebra, Homological |
ISBN | : 9780685159910 |
Download Cohomological Methods in Group Theory Book in PDF, ePub and Kindle
Author | : C. Allday |
Publisher | : Cambridge University Press |
Total Pages | : 486 |
Release | : 1993-07 |
Genre | : Mathematics |
ISBN | : 0521350220 |
Download Cohomological Methods in Transformation Groups Book in PDF, ePub and Kindle
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.
Author | : William G. Dwyer |
Publisher | : Birkhäuser |
Total Pages | : 106 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034883560 |
Download Homotopy Theoretic Methods in Group Cohomology Book in PDF, ePub and Kindle
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.
Author | : Peter H. Kropholler |
Publisher | : Cambridge University Press |
Total Pages | : 332 |
Release | : 1998-05-14 |
Genre | : Mathematics |
ISBN | : 052163556X |
Download Geometry and Cohomology in Group Theory Book in PDF, ePub and Kindle
This volume reflects the fruitful connections between group theory and topology. It contains articles on cohomology, representation theory, geometric and combinatorial group theory. Some of the world's best known figures in this very active area of mathematics have made contributions, including substantial articles from Ol'shanskii, Mikhajlovskii, Carlson, Benson, Linnell, Wilson and Grigorchuk, which will be valuable reference works for some years to come. Pure mathematicians working in the fields of algebra, topology, and their interactions, will find this book of great interest.
Author | : Alejandro Adem |
Publisher | : Springer Science & Business Media |
Total Pages | : 333 |
Release | : 2013-06-29 |
Genre | : Mathematics |
ISBN | : 3662062828 |
Download Cohomology of Finite Groups Book in PDF, ePub and Kindle
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.
Author | : Martin R. Bridson |
Publisher | : |
Total Pages | : 331 |
Release | : 2014-05-14 |
Genre | : Geometric group theory |
ISBN | : 9781139127424 |
Download Geometric and Cohomological Methods in Group Theory Book in PDF, ePub and Kindle
An extended tour through a selection of the most important trends in modern geometric group theory.
Author | : Peter H. Kropholler |
Publisher | : Cambridge University Press |
Total Pages | : 277 |
Release | : 2018 |
Genre | : Mathematics |
ISBN | : 131662322X |
Download Geometric and Cohomological Group Theory Book in PDF, ePub and Kindle
Surveys the state of the art in geometric and cohomological group theory. Ideal entry point for young researchers.
Author | : Charles Terence Clegg Wall |
Publisher | : Cambridge University Press |
Total Pages | : 409 |
Release | : 1979-12-27 |
Genre | : Mathematics |
ISBN | : 0521227291 |
Download Homological Group Theory Book in PDF, ePub and Kindle
Eminent mathematicians have presented papers on homological and combinatorial techniques in group theory. The lectures are aimed at presenting in a unified way new developments in the area.