Presentations Of Groups
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Presentations of Groups
Primarily an introduction to combinatorial group theory, this book has the secondary aim of introducing a wide variety of examples of groups and types of groups. The emphasis is algebraic rather than topological. The only background required is some basic knowledge of linear algebra, group theory and ring theory.
Topics in the Theory of Group Presentations
Author: D. L. Johnson
language: en
Publisher: Cambridge University Press
Release Date: 1980-07-31
These notes comprise an introduction to combinatorial group theory and represent an extensive revision of the author's earlier book in this series, which arose from lectures to final-year undergraduates and first-year graduates at the University of Nottingham. Many new examples and exercises have been added and the treatment of a number of topics has been improved and expanded. In addition, there are new chapters on the triangle groups, small cancellation theory and groups from topology. The connections between the theory of group presentations and other areas of mathematics are emphasized throughout. The book can be used as a text for beginning research students and, for specialists in other fields, serves as an introduction both to the subject and to more advanced treatises.
Combinatorial Group Theory
Author: Wilhelm Magnus
language: en
Publisher: Courier Corporation
Release Date: 2004-01-01
This seminal, much-cited account 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; and more. Second, revised 1976 edition.