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Topics in Molecular Organization and Engineering #70: Geometry of Defining Relations in Groups

Topics in Molecular Organization and Engineering #70: Geometry of Defining Relations in Groups Cover

Synopses & Reviews

Synopsis:

The main feature of this book is a systematic application of elementary geometric and topological techniques for solving problems that arise naturally in algebra. After an account of preliminary material, there is a discussion of a geometrically intuitive interpretation of the derivation of consequences of defining relations of groups. A study is made of planar and certain other two-dimensional maps connected with well-known problems in general group theory, such as the problems of Burnside and O. Yu. Schmidt. The method of cancellation diagrams developed here is applied to these and to a series of other problems. This monograph is addressed to research workers and students in universities, and may be used as a basis for a series of specialized lectures or seminars.

Description:

Includes bibliographical references (p. 473-496) and indexes.

Product Details

ISBN:
9780792313946
Publisher:
Springer
Location:
Dordrecht ;
Author:
Ol'shanskii, A. Iu
Subject:
Geometry - General
Subject:
Geometry
Subject:
Discrete Mathematics
Subject:
Group Theory
Series:
Topics in Molecular Organization and Engineering
Series Volume:
70
Publication Date:
October 1991
Binding:
Hardcover
Language:
English
Illustrations:
Yes
Pages:
536
Dimensions:
9.21x6.14x1.25 in. 2.03 lbs.
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