Groups acting on graphs / Warren Dicks, M. J. Dunwoody

Auteur: Dicks, Warren (1947-) - AuteurCo-auteur: Dunwoody, Martin John (1938-) - AuteurType de document: MonographieCollection: Cambridge studies in advanced mathematics ; 17Langue: anglaisPays: Grande BretagneÉditeur: Cambridge : Cambridge University Press, 1989Description: 1 vol. (XVI-283 p.) ; 24 cm ISBN: 0521230330 ; rel. Note: The present work is an advanced text and research monograph devoted to some of the most interesting modern developments on the border between algebra and topology. The interplay between these two large branches of pure mathematics has proved to be extremely fruitful, with mutual benefit in many instances. In particular, the theory of groups acting on graphs has led to a significant revitalization of combinatorial group theory and to important progress in low-dimensional topology. The authors are well known for their substantial contributions to the subject. In this book they not only attempt to give a systematic account of known results (most of the topics discussed here appear in book form for the first time), but they also include some recent original results which appear for the first time in print. (Zentralblatt)Bibliographie: Bibliogr. p. 272-275. Index. Sujets MSC: 20F05 Group theory and generalizations -- Special aspects of infinite or finite groups -- Generators, relations, and presentations
05C25 Combinatorics -- Graph theory -- Graphs and abstract algebra (groups, rings, fields, etc.)
05C05 Combinatorics -- Graph theory -- Trees
18G20 Category theory; homological algebra -- Homological algebra -- Homological dimension
20J05 Group theory and generalizations -- Connections with homological algebra and category theory -- Homological methods in group theory
En-ligne: Zentralblatt | MathSciNet
Location Call Number Status Date Due
Salle R 11938-01 / 20 DIC (Browse Shelf) Available

The present work is an advanced text and research monograph devoted to some of the most interesting modern developments on the border between algebra and topology. The interplay between these two large branches of pure mathematics has proved to be extremely fruitful, with mutual benefit in many instances. In particular, the theory of groups acting on graphs has led to a significant revitalization of combinatorial group theory and to important progress in low-dimensional topology.

The authors are well known for their substantial contributions to the subject. In this book they not only attempt to give a systematic account of known results (most of the topics discussed here appear in book form for the first time), but they also include some recent original results which appear for the first time in print. (Zentralblatt)

Bibliogr. p. 272-275. Index

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