FINITELY GENERATED SOLUBLE GROUPS WITH A CONDITION ON INFINITE SUBSETS

Author:

FARAMARZI SALLES ASADOLLAH

Abstract

AbstractLet G be a group. We say that G∈𝒯() provided that every infinite set of elements of G contains three distinct elements x,y,z such that xy,[x,y,z]=1=[y,z,x]=[z,x,y]. We use this to show that for a finitely generated soluble group G, G/Z2(G) is finite if and only if G∈𝒯().

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference11 articles.

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