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Topics in Combinatorial Group Theory (Repost)
Topics in Combinatorial Group Theory (Repost)
Date: 21 November 2010, 07:19

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Topics in Combinatorial Group Theory
Publisher: Birkhauser | ISBN: 0817629211 | edition 1993 | PDF | 172 pages | 2,1 mb

Combinatorial group theory is a loosely defined subject, with close connections to topology and logic. With surprising frequency, problems in a wide variety of disciplines, including differential equations, automorphic functions and geometry, have been distilled into explicit questions about groups, typically of the following kind: Are the groups in a given class finite (e.g., the Burnside problem)? Finitely generated? Finitely presented? What are the conjugates of a given element in a given group? What are the subgroups of that group? Is there an algorithm for deciding for every pair of groups in a given class whether they are isomorphic or not? The objective of combinatorial group theory is the systematic development of algebraic techniques to settle such questions.
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