Combinatorial group theory : presentations of groups in terms of generators and relations
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.
9780486632810 0486632814
Combinatorial group theory.
512.2 / MAG
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.
9780486632810 0486632814
Combinatorial group theory.
512.2 / MAG