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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/933264

Title: Group properties characterised by configurations
Author/Creator: Abdollahi, Alireza; Rejali, Ali; Willis, George A.
Description: J. M. Rosenblatt and G. A. Willis introduced the notion of configurations for finitely generated groups G. They characterised amenability of G in terms of the configuration equations. In this paper we investigate which group properties can be characterised by configurations. It is proved that if G₁ and G₂ are two finitely generated groups having the same configuration sets and G₁ satisfies a semigroup law, then G₂ satisfies the same semigroup law. Furthermore, if G₁ is abelian then G₁ and G₂ are isomorphic.
Relation: Illinois Journal of Mathematics Vol. 48, Issue 3, p. 861-873
Relation: http://projecteuclid.org/euclid.ijm/1258131056
Date: 2004
Publisher: University Of Illinois, Department of Mathematics
Keyword(s): finitely generated groups; configuration equations; isomorphism; abelian groups
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/933264
Identifier: ISSN:0019-2082
Language: eng

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