On the algorithmic construction of classifying spaces and the isomorphism problem for biautomatic groups

On the algorithmic construction of classifying spaces and the isomorphism problem for biautomatic groups

We show that the isomorphism problem is solvable in the class of central extensions of word-hyperbolic groups, and that the isomorphism problem for biautomatic groups reduces to that for biautomatic groups with finite centre. We describe an algorithm that, given an arbitrary finite presentation of a...

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Opis bibliograficzny
Główni autorzy: Bridson, M, Reeves, L
Format: Journal article
Język:English
Wydane: 2011
Opis
Streszczenie:We show that the isomorphism problem is solvable in the class of central extensions of word-hyperbolic groups, and that the isomorphism problem for biautomatic groups reduces to that for biautomatic groups with finite centre. We describe an algorithm that, given an arbitrary finite presentation of an automatic group Γ, will construct explicit finite models for the skeleta of K(Γ, 1) and hence compute the integral homology and cohomology of Γ. © 2011 Science China Press and Springer-Verlag Berlin Heidelberg.

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