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Virtual endomorphisms of nilpotent groups

Virtual endomorphisms of nilpotent groups

A virtual endomorphism of a group G is a homomorphism f W H ! G where H is a subgroup of G of finite index m.The triple .G; H; f / produces a state-closed (or, selfsimilar) representation ' of G on the 1-rooted m-ary tree.This paper is a study of …