Combinatorial group theory : presentations of groups in terms of generators and relations
Magnus, Wilhelm
creator
Karrass, Abraham
Solitar, Donald
text
New York
Dover Publications
1976
2nd Revised
monographic
xii, 444 pages ;
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.
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.
Combinatorial group theory
512.2 MAG
9780486632810
0486632814