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

Auteur principal : Dicks, Warren, 1947-, AuteurCo-auteur : Dunwoody, Martin John, 1938-, AuteurType de document : MonographieCollection : Cambridge studies in advanced mathematics, 17Langue : anglais.Pays : Grande Bretagne.Éditeur : Cambridge : Cambridge University Press, 1989Description : 1 vol. (XVI-283 p.) ; 24 cmISBN : 0521230330.ISSN : 0950-6330.Bibliographie : Bibliogr. p. 272-275. Index.Sujet MSC : 20F05, Special aspects of infinite or finite groups, Generators, relations, and presentations of groups
05C25, Combinatorics - Graph theory, Graphs and abstract algebra (groups, rings, fields, etc.)
05C05, Combinatorics - Graph theory, Trees
18G20, Homological algebra in category theory, derived categories and functors, Homological dimension
20J05, Connections of group theory with homological algebra and category theory, Homological methods in group theory
En-ligne : Zentralblatt | MathSciNet
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20 DIC (Browse shelf) Available 11938-01

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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