Topics in Combinatorial Group Theory

Gilbert Baumslag

ISBN 10: 3764329211 / ISBN 13: 9783764329211

Verlag: Birkhäuser Basel, Birkhäuser Basel Sep 1993, 1993

Beschreibung

This item is printed on demand - Print on Demand Titel. Neuware -Combinatorial group theory is a loosely defined subject, with close connections to topology and logic. With surprising frequency, problems in a wide variety of disciplines, including differential equations, automorphic functions and geometry, have been distilled into explicit questions about groups, typically of the following kind: Are the groups in a given class finite (e.g., the Burnside problem) Finitely generated Finitely presented What are the conjugates of a given element in a given group What are the subgroups of that group Is there an algorithm for deciding for every pair of groups in a given class whether they are isomorphic or not The objective of combinatorial group theory is the systematic development of algebraic techniques to settle such questions. In view of the scope of the subject and the extraordinary variety of groups involved, it is not surprising that no really general theory exists. These notes, bridging the very beginning of the theory to new results and developments, are devoted to a number of topics in combinatorial group theory and serve as an introduction to the subject on the graduate level.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 180 pp. Englisch.

Bestandsnummer des Verkäufers 9783764329211

Bibliografische Details

• Titel: Topics in Combinatorial Group Theory
• Verlag: Birkhäuser Basel, Birkhäuser Basel Sep 1993
• Erscheinungsjahr: 1993
• Sprache: Englisch
• ISBN-10: 3764329211
• ISBN-13: 9783764329211
• Einband: Taschenbuch
• Zustand: Neu
• Abmessungen: 235B x 155 H x 11 T Millimeter Breite: 235 mm, Höhe: 155 mm, Tiefe: 11 mm
• Gewicht: 283 Gramm

Über diesen Titel

Inhaltsangabe

Combinatorial group theory is a loosely defined subject, with close connections to topology and logic. With surprising frequency, problems in a wide variety of disciplines, including differential equations, automorphic functions and geometry, have been distilled into explicit questions about groups, typically of the following kind: Are the groups in a given class finite (e.g., the Burnside problem)? Finitely generated? Finitely presented? What are the conjugates of a given element in a given group? What are the subgroups of that group? Is there an algorithm for deciding for every pair of groups in a given class whether they are isomorphic or not? The objective of combinatorial group theory is the systematic development of algebraic techniques to settle such questions. In view of the scope of the subject and the extraordinary variety of groups involved, it is not surprising that no really general theory exists. These notes, bridging the very beginning of the theory to new results and developments, are devoted to a number of topics in combinatorial group theory and serve as an introduction to the subject on the graduate level.