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

By: Magnus, WilhelmContributor(s): Karrass, Abraham | Solitar, DonaldMaterial type: Text

TextPublication details: New York : Dover Publications, 1976Edition: 2nd RevisedDescription: xii, 444 pagesISBN: 9780486632810; 0486632814 Subject(s): Combinatorial group theoryDDC classification: 512.2

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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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

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Previous	512.13076 SCH 2500 solved problems in college algebra and trigonometry	512.2 BAU Schaum's outline of theory and problems of group theory	512.2 BAU Schaum's Outline of Theory and Problems of Group Theory	512.2 MAG Combinatorial group theory : presentations of groups in terms of generators and relations	512.2 MIT A Textbook of Group Theory	512.2 SWI Analytic theory of Abelian varieties	512.24 PIE Associative Algebras	Next

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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