TY - BOOK AU - Müller,T.W. TI - Groups: Topological, Combinatorial and Arithmetic Aspects T2 - London Mathematical Society Lecture Note Series SN - 9780511550706 (ebook) AV - QA174.2 .G763 2004 U1 - 512/.2 22 PY - 2004/// CY - Cambridge PB - Cambridge University Press KW - Group theory N1 - Title from publisher's bibliographic system (viewed on 16 Oct 2015) N2 - 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 UR - http://dx.doi.org/10.1017/CBO9780511550706 ER -