Geometry and Cohomology in Group Theory

doi:10.1017/CBO9780511666131

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.

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Geometry and Cohomology in Group Theory

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Contents

Frontmatter
pp i-iv

Contents
pp v-vi

Preface
pp vii-viii

List of Participants
pp ix-xii

On the Cohomology of SL2(ℤ[1/p])
pp 1-9

Cohomology of Sporadic Groups, Finite Loop Spaces, and the Dickson Invariants
pp 10-23

Kernels of Actions on Non-positively Curved Spaces
pp 24-38

Cyclic Groups Acting on Free Lie Algebras
pp 39-44

Cohomology, Representations and Quotient Categories of Modules
pp 45-73

Protrees and Λ-trees
pp 74-87

Homological Techniques for Strongly Graded Rings: A Survey
pp 88-107

Buildings are CAT(0)
pp 108-123

On Subgroups of Coxeter Groups
pp 124-160

The p-primary Farrell Cohomology of Out(Fp–1)
pp 161-169

On Tychonoff Groups
pp 170-187

Word Growth of Coxeter Groups
pp 188-189

Poly-surface Groups
pp 190-208

Analytic Versions of the Zero Divisor Conjecture
pp 209-248

On the Geometric Invariants of Soluble Groups of Finite Prüfer Rank
pp 249-262

Some Constructions Relating to Hyperbolic Groups
pp 263-290

Free Actions of Abelian Groups on Groups
pp 291-295

Finitely Presented Soluble Groups
pp 296-316

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Geometry and Cohomology in Group Theory

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