Title: Topics in Combinatorial Group Theory (Lectures in Mathematics. ETH Z�rich)
Publisher: Birkh�user
Publication Date: 1993
Language: English
ISBN 10: 3764329211
ISBN 13: 9783764329211
Binding: Soft cover
Condition: New

About this title

Synopsis

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. In view of the scope of the subject and the extraordinary variety of groups involved, it is not surprising that no really general theory exists. These notes, bridging the very beginning of the theory to new results and developments, are devoted to a number of topics in combinatorial group theory and serve as an introduction to the subject on the graduate level.

Synopsis

This publication, bridging the very beginning of combinatorial group theory to new results and developments, is devoted to a number of topics in combinatorial group theory and serves as an introduction to the subject on the graduate level.

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