Groups : Topological, Combinatorial and Arithmetic Aspects / Edited by T. W. Müller.

Contributor(s): Müller, T. W [editor of compilation.]Material type: TextTextSeries: London Mathematical Society Lecture Note Series ; no. 311Publisher: Cambridge : Cambridge University Press, 2004Description: 1 online resource (604 pages) : digital, PDF file(s)Content type: text Media type: computer Carrier type: online resourceISBN: 9780511550706 (ebook)Subject(s): Group theoryAdditional physical formats: Print version: : No titleDDC classification: 512/.2 LOC classification: QA174.2 | .G763 2004Online resources: Click here to access online Summary: 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.
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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.

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