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Combinatorial Group Theory: Presentations of Groups in Terms of Generators and Relations by Wilhelm Magnus, Donald Solitar, Abraham Karrass (Paperback, 2005)

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.

Author
Wilhelm Magnus, Donald Solitar, Abraham Karrass
Publication Name
Combinatorial Group Theory: Presentations of Groups in Terms of Generators and Relations
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2005
Type
Textbook
Number of Pages
464 Pages

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