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Combinatorial Group Theory: Presentations of Groups in Terms of Generators and Relations

Combinatorial Group Theory: Presentations of Groups in Terms of Generators and Relations

By: Donald Solitar, Wilhelm Magnus, Abraham Karrass

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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.

Reprint of the Interscience Publishers, New York,1966 edition.

AvailabilityUsually ships in 24 to 48 hours
ISBN 100486438309
ISBN 139780486438306
Author/EditorDonald Solitar, Wilhelm Magnus, Abraham Karrass
Page Count464
Dimensions5 1/2 x 8 1/2

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