This volume covers cohomology, representation theory, geometric and combinatorial group theory.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 worlds 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 field of algebra, topology, and their interactions, will find this book of great interest.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 worlds 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 field of algebra, topology, and their interactions, will find this book of great interest.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.1. On the cohomology of SL2(Z[1/p]) A. Adem and N. Naffah; 2. Cohomology of sporadic groups, finite loop spaces and the Dickson Invariants D. J. Benson;l®