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 that will be valuable reference works for some years to come. Pure mathematicians working in the field of algebra, topology, and their interactions, will find this book of great interest.
Author(s): Peter H. Kropholler, Graham A. Niblo, Ralph Stöhr
Series: London Mathematical Society Lecture Note Series
Publisher: Cambridge University Press
Year: 1998
Language: English
Pages: 328
Table of Contents......Page 5
Preface......Page 7
List of Participants......Page 10
On the Cohomology of SL2(Z[1lp])......Page 13
Cohomology of Sporadic Groups, Finite Loop Spaces, and the Dickson Invariants......Page 22
Kernels of Actions on Non-positively Curved Spaces 24 t......Page 0
Cyclic Groups Acting on Free Lie Algebras......Page 51
Cohomology, Representations and Quotient Categories of Modules......Page 57
Protrees and A-trees......Page 86
Homological Techniques for Strongly Graded Rings: A Survey......Page 100
Buildings are CAT (0)......Page 120
On Subgroups of Coxeter Groups......Page 136
The p-primary Farrell Cohomology of Out(FP_1)......Page 173
On Tychonoff Groups......Page 182
Word Growth of Coxeter Groups......Page 200
Poly-surface Groups......Page 202
Analytic Versions of the Zero Divisor Conjecture......Page 221
On the Geometric Invariants of Soluble Groups of Finite Priifer Rank......Page 261
Some Constructions Relating to Hyperbolic Groups......Page 275
Free Actions of Abelian Groups on Groups......Page 303
Finitely Presented Soluble Groups 296......Page 308
