01734nam a2200205 a 4500
9780486632810
0486632814
512.2
MAG
Magnus, Wilhelm
Combinatorial group theory : presentations of groups in terms of generators and relations
2nd Revised
New York :
Dover Publications,
1976.
xii, 444 pages ;
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.
Combinatorial group theory.
Karrass, Abraham
Solitar, Donald
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2003-09-25
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