Combinatorial group theory : presentations of groups in terms of generators and relations

By:

Magnus, Wilhelm

Contributor(s):

Material type: Text

TextPublication details: New York : Dover Publications, 1976.Edition: 2nd RevisedDescription: xii, 444 pagesISBN:

9780486632810
0486632814

Subject(s):

Combinatorial group theory

DDC classification:

512.2 MAG

Contents:

Technical remarks -- Basic concepts -- Factor groups and subgroups -- Nielsen transformations -- Free products and free products with amalgamations -- Commutator calculus -- Introduction to some recent developments -- List of theorems, corollaries, and definitions.

Summary: A seminal, much-cited account of combinatorial group theory coauthored by a distinguished teacher of mathematics and a pair of his colleagues this text for graduate students features numerous helpful exercises. The book begins with a fairly elementary exposition of basic concepts and a discussion of factor groups and subgroups. The topics of Nielsen transformations, free and amalgamated products, and commutator calculus receive detailed treatment. The concluding chapter surveys word, conjugacy, and related problems; adjunction and embedding problems; varieties of groups; products of groups; and residual and Hopfian properties. In addition to the exercises, which appear throughout the text, supplementary materials include an extensive bibliography of important books and monographs, as well as a list of theorems, corollaries, and definitions and a list of symbols and abbreviations.

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Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode	Item holds
Reference Books	Main Library Reference	Reference	512.2 MAG (Browse shelf(Opens below))	Available		007984

Total holds: 0

Technical remarks --
Basic concepts --
Factor groups and subgroups --
Nielsen transformations --
Free products and free products with amalgamations --
Commutator calculus --
Introduction to some recent developments --
List of theorems, corollaries, and definitions.

A seminal, much-cited account of combinatorial group theory coauthored by a distinguished teacher of mathematics and a pair of his colleagues this text for graduate students features numerous helpful exercises.
The book begins with a fairly elementary exposition of basic concepts and a discussion of factor groups and subgroups. The topics of Nielsen transformations, free and amalgamated products, and commutator calculus receive detailed treatment. The concluding chapter surveys word, conjugacy, and related problems; adjunction and embedding problems; varieties of groups; products of groups; and residual and Hopfian properties.
In addition to the exercises, which appear throughout the text, supplementary materials include an extensive bibliography of important books and monographs, as well as a list of theorems, corollaries, and definitions and a list of symbols and abbreviations.

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