Topics in Combinatorial Group Theory (Paperback, 1993 ed.)

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.

General

Imprint:	Birkhauser Verlag AG
Country of origin:	Switzerland
Series:	Lectures in Mathematics. ETH Zurich
Release date:	September 1993
First published:	1993
Authors:	Gilbert Baumslag
Dimensions:	233 x 155 x 9mm (L x W x T)
Format:	Paperback
Pages:	170
Edition:	1993 ed.
ISBN-13:	978-3-7643-2921-1
Categories:	Books > Science & Mathematics > Mathematics > Combinatorics & graph theory Books > Science & Mathematics > Mathematics > Mathematical foundations > General Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory Books > Science & Mathematics > Mathematics > Topology > Algebraic topology
LSN:	3-7643-2921-1
Barcode:	9783764329211

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