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Mathematics Topics in Combinatorial Group Theory

Posted on 2010-04-14




Name:Mathematics Topics in Combinatorial Group Theory
ASIN/ISBN:0817629211
File size:22 Mb
Publisher: Birkhauser
Pages: 172
Publish Date: 1993
ISBN: 0817629211
File Type: PDF
File Size: 22 mb
   Mathematics Topics in Combinatorial Group Theory

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Topics in Combinatorial Group Theory

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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