Minimal generating sets in wreath products

Published 29 Sep 2012 in math.GR | (1210.0150v1)

Abstract: We find some sufficient conditions under which the permutational wreath product of two groups has a minimal generating set. In particular we prove that for a regular rooted tree the group of all automorphisms and the group of all finite-state automorphisms of such a tree satisfy these conditions.

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Authors (1)

Yaroslav Lavrenyuk

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