TY - BOOK ID - 80826934 TI - Groups PY - 2004 SN - 9780511550706 9780521542876 9781107362314 1107362318 0511550707 129940488X 9781299404885 9781107367227 1107367220 9781107368231 1107368235 0521542871 1139882155 1107371821 1107364760 PB - Cambridge New York Cambridge University Press DB - UniCat KW - Group theory. KW - Groups, Theory of KW - Substitutions (Mathematics) KW - Algebra UR - https://www.unicat.be/uniCat?func=search&query=sysid:80826934 AB - In 1999 a number of eminent mathematicians were invited to Bielefeld to present lectures at a conference on topological, combinatorial and arithmetic aspects of (infinite) groups. The present volume consists of survey and research articles invited from participants in this conference. Topics covered include topological finiteness properties of groups, Kac-Moody groups, the theory of Euler characteristics, the connection between groups, formal languages and automata, the Magnus-Nielsen method for one-relator groups, atomic and just infinite groups, topology in permutation groups, probabilistic group theory, the theory of subgroup growth, hyperbolic lattices in dimension three, generalised triangle groups and reduction theory. All contributions are written in a relaxed and attractive style, accessible not only to specialists, but also to good graduate and post-graduate students, who will find inspiration for a number of basic research projects at various levels of technical difficulty. ER -