Minimal generating sets in wreath products
Group Theory
2012-10-02 v1
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.
Cite
@article{arxiv.1210.0150,
title = {Minimal generating sets in wreath products},
author = {Yaroslav Lavrenyuk},
journal= {arXiv preprint arXiv:1210.0150},
year = {2012}
}