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arXiv · 1210.0150

Minimal generating sets in wreath products

Yaroslav Lavrenyuk
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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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Yaroslav Lavrenyuk. 2012-09-29. Minimal generating sets in wreath products. https://arxiv.org/abs/1210.0150

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