Combinatorial Group Theory (Classics in Mathematics) - Taschenbuch

EAN (ISBN-13): 9783540411581
ISBN (ISBN-10): 3540411585
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2001
Herausgeber: Springer

Buch in der Datenbank seit 2007-05-31T00:09:41+02:00 (Berlin)
Detailseite zuletzt geändert am 2023-11-26T10:51:27+01:00 (Berlin)
ISBN/EAN: 3540411585

ISBN - alternative Schreibweisen:
3-540-41158-5, 978-3-540-41158-1
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: schupp, lyndon
Titel des Buches: group theory, combinatorial theory, the group, group zero, group seven, cycle classsic, classics mathematics

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Daten vom Verlag:

Autor/in: Roger C. Lyndon; Paul E. Schupp
Titel: Classics in Mathematics; Combinatorial Group Theory
Verlag: Springer; Springer Berlin
339 Seiten
Erscheinungsjahr: 2001-01-12
Berlin; Heidelberg; DE
Sprache: Englisch
58,84 € (DE)
60,49 € (AT)
65,00 CHF (CH)
Available
XIV, 339 p.

BC; Hardcover, Softcover / Mathematik/Arithmetik, Algebra; Gruppen und Gruppentheorie; Verstehen; 05E15; 20Exx; 20Fxx; 20J05; YellowSale2006; combinatorial groups; 5,00E+15; algebra; automorphism; cohomology; Group theory; Group Theory and Generalizations; Numerical Analysis; Numerische Mathematik; BB; EA

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 Length Functions.- 10. Representations of Free Groups; the Fox Calculus.- 11. Free Products with Amalgamation.- 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.- 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. Spherical Diagrams.- 11. Aspherical Groups.- 12. Coset Diagrams and Permutation Representations.- 13. Behr Graphs.-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.- 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 Conjugacy Problem.- 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.- Russian Names in Cyrillic.- Index of Names.
Lyndon and Schupp coauthored one of the most important works on combinatorial group theory: The book was eagerly awaited by those interested in research in this area, and people working at the time remember the excitement of seeing the book when it first appeared and was passed round a lecture theatre at a conference