Group Theory

We are pleased to present the book “Geometric Group Theory, Dortmund and Carleton Conferences”, a selection of the best research articles from two strongly related 2007 international conferences:

by Cornelia Drutu; Michael Kapovich (Author)
The key idea in geometric group theory is to study infinite groups by endowing them with a metric and treating them as geometric spaces.

This book is a blend of recent developments in theoretical and computational aspects of group theory. It presents the state-of-the-art research topics in different aspects of group theory, namely, character theory, representation theory, integral group rings, the Monster simple group, computational algorithms and methods on finite groups, finite loops, periodic groups, Camina groups and generalizations, automorphisms and non-abelian tensor product of groups. Presenting a collection of invited articles by some of the leading and highly active researchers in the theory of finite groups and their representations and the Monster group, with a focus on computational aspects, this book is of particular interest to researchers in the area of group theory and related fields of mathematics.