Classics in Mathematics

By: Roger C. Lyndon, Paul E. Schupp

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Paperback | 12 January 2001

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360 Pages

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23.5 x 15.24 x 1.91

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From the reviews:
"This book (...) defines the boundaries of the subject now called combinatorial group theory. (...)it is a considerable achievement to have concentrated a survey of the subject into 339 pages. This includes a substantial and useful bibliography; (over 1100 (items)). ...the book is a valuable and welcome addition to the literature, containing many results not previously available in a book. It will undoubtedly become a standard reference." Mathematical Reviews, AMS, 1979

Industry Reviews

From the reviews:

"This book (...) defines the boundaries of the subject now called combinatorial group theory. (...)it is a considerable achievement to have concentrated a survey of the subject into 339 pages. This includes a substantial and useful bibliography; (over 1100 items). ...the book is a valuable and welcome addition to the literature, containing many results not previously available in a book. It will undoubtedly become a standard reference." Mathematical Reviews, AMS, 1979

"This is a reprint of the 1977 edition ... of this famous and very popular book, which became a desk copy for everybody who is dealing with combinatorial group theory. The complete bibliography (more than 1000 titles) well reflects the situation in the combinatorial group theory at the time when the book was published. Definitely, since the face of combinatorial group theory has significantly changed ... this well-written book still is very functional and efficient." (Igor Subbotin, Zentralblatt MATH, Vol. 997 (22), 2002)

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You Can Find This Book In

Non-Fiction Mathematics Groups & Group Theory Combinatorics & Graph Theory Algebra Medicine Other Branches of Medicine Psychiatry Psychology Calculus & Mathematical Analysis Numerical Analysis

Free Groups and Their Subgroups	p. 1
Nielsen's Method	p. 4
Subgroup of Free Groups	p. 13
Automorphisms of Free Groups	p. 21
Stabilizers in Aut(F)	p. 43
Equations over Groups	p. 49
Quadratic Sets of Word	p. 58
Equations in Free Groups	p. 64
Abstract Length Functions	p. 65
Representations of Free Groups; the Fox Calculus	p. 67
Free Products with Amalgamation	p. 71
Generators and Relations	p. 87
Finite Presentations	p. 89
Fox Calculus, Relation Matrices, Connections with Cohomology	p. 99
The Reidemeister-Schreier Method	p. 102
Groups with a Single Defining Relator	p. 104
Magnus' Treatment of One-Relator Groups	p. 111
Geometric Methods	p. 114
Complexes	p. 115
Covering Maps	p. 118
Cayley Complexes	p. 122
Planar Caley Complexes	p. 124
F-Groups Continued	p. 130
Fuchsian Complexes	p. 133
Planar Groups with Reflections	p. 146
Singular Subcomplexes	p. 149
Spherical Diagrams	p. 156
Aspherical Groups	p. 161
Coset Diagrams and Permutation Representations	p. 163
Behr Graphs	p. 170
Free Products and HNN Extension	p. 174
Free Products	p. 174
Higman-Neumann-Neumann Extensions and Free Products with Amalgamation	p. 178
Some Embedding Theorems	p. 188
Some Decision Problems	p. 192
One-Relator Groups	p. 198
Bipolar Structures	p. 206
The Higman Embedding Theorem	p. 214
Algebraically Closed Groups	p. 227
Small Cancellation Theory	p. 235
Diagrams	p. 235
The Small Cancellation Hypotheses	p. 240
The Basic Formulas	p. 242
Dehn's Algorithm and Greendlinger's Lemma	p. 246
The Conjugacy Problem	p. 252
The Word Problem	p. 259
The Conjugacy Problem	p. 262
Applications to Knot Groups	p. 267
The Theory over Free Products	p. 274
Small Cancellation Products	p. 280
Small Cancellation Theory over Free Products with Amalgamation and HNN Extensions	p. 285
Bibliography	p. 295
Russian Names in Cyrillic	p. 332
Index of Names	p. 333
Subject Index	p. 336
Table of Contents provided by Blackwell. All Rights Reserved.

Classics in Mathematics

At a Glance

Paperback

Industry Reviews

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How to return your order

Defective items

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