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Combinatorial group theory

Combinatorial group theory (Loan 2 times)

Material type
단행본
Personal Author
Lyndon, Roger C. Schupp, Paul E. , 1937-
Title Statement
Combinatorial group theory / Roger C. Lyndon, Paul E. Schupp.
Publication, Distribution, etc
Berlin :   Springer,   c2001.  
Physical Medium
xiv, 339 p. : ill. ; 24 cm.
Series Statement
Classics in mathematics
ISBN
3540411585 (acid-free paper)
General Note
"Reprint of the 1977 edition."  
"Originally published as Vol. 89 of the Ergibnisse der Mathematik und ihrer Grenzgebiete"--T.p. verso.  
Bibliography, Etc. Note
Includes bibliographical references (p. [295]-331 and indexes.
Subject Added Entry-Topical Term
Combinatorial group theory.
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001 000000885297
005 20040622115850
008 021112r20011977gw a b 001 0 eng
010 ▼a 2001271664
020 ▼a 3540411585 (acid-free paper)
035 ▼a KRIC08480996
040 ▼a DLC ▼c DLC ▼d 211029 ▼d 211009
049 1 ▼l 121095324 ▼f 과학
050 0 0 ▼a QA182.5 ▼b .L96 2001
082 0 4 ▼a 512.2 ▼2 21
090 ▼a 512.2 ▼b L988c
100 1 ▼a Lyndon, Roger C.
245 1 0 ▼a Combinatorial group theory / ▼c Roger C. Lyndon, Paul E. Schupp.
260 ▼a Berlin : ▼b Springer, ▼c c2001.
300 ▼a xiv, 339 p. : ▼b ill. ; ▼c 24 cm.
440 0 ▼a Classics in mathematics
500 ▼a "Reprint of the 1977 edition."
500 ▼a "Originally published as Vol. 89 of the Ergibnisse der Mathematik und ihrer Grenzgebiete"--T.p. verso.
504 ▼a Includes bibliographical references (p. [295]-331 and indexes.
650 0 ▼a Combinatorial group theory.
700 1 ▼a Schupp, Paul E. , ▼d 1937-

Holdings Information

No. Location Call Number Accession No. Availability Due Date Make a Reservation Service
No. 1 Location Science & Engineering Library/Sci-Info(Stacks2)/ Call Number 512.2 L988c Accession No. 121095324 Availability Available Due Date Make a Reservation Service B M

Contents information

Table of Contents

Chapter I. Free Groups and Their Subgroups 1. Introduction 2. Nielsen's Method 3. Subgroups of Free Groups 4. Automorphisms of Free Groups 5. Stabilizers in Aut(F) 6. Equations over Groups 7. Quadratic sets of Word 8. Equations in Free Groups 9. Abstract Lenght Functions 10. Representations of Free Groups 11. Free Pruducts with Amalgamation Chapter II. Generators and Relations 1. Introduction 2. Finite Presentations 3. Fox Calculus, Relation Matrices, Connections with Cohomology 4. The Reidemeister-Schreier Method 5. Groups with a Single Defining Relator 6. Magnus' Treatment of One-Relator Groups Chapter III. Geometric Methods 1. Introduction 2. Complexes 3. Covering Maps 4. Cayley Complexes 5. Planar Caley Complexes 6. F-Groups Continued 7. Fuchsian Complexes 8. Planar Groups with Reflections 9. Singular Subcomplexes 10. Sherical Diagrams 11. Aspherical Groups 12. Coset Diagrams and Permutation Representations 13. Behr Graphs Chpter IV. Free Products and HNN Extensions 1. Free Products 2. Higman-Neumann-Neumann Extensions and Free Products with Amalgamation 3. Some Embedding Theorems 4. Some Decision Problems 5. One-Relator Groups 6. Bipolar Structures 7. The Higman Embedding Theorem 8. Algebraically Closed Groups Chapter V. Small Cancellation Theory 1. Diagrams 2. The Small Cancellation Hypotheses 3. The Basic Formulas 4. Dehn's Algorithm and Greendlinger's Lemma 5. The Conjugacy Problem 6. The Word Problem 7. The Cunjugacy Problme 8. Applications to Knot Groups 9. The Theory over Free Products 10. Small Cancellation Products 11. Small Cancellation Theory over free Products with Amalgamation and HNN Extensions Bibliography Index of Names Subject Index


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