On generating sets of infinite symmetric group
Group Theory
2021-09-21 v1 Combinatorics
Abstract
It was shown that in a group of bijections of an infinite set some families of subsets, related to the cardinality of some eigenspaces, are generating. Besides, we derived a criterion for generating by sets of this kind.
Cite
@article{arxiv.2109.09174,
title = {On generating sets of infinite symmetric group},
author = {Andrei V. Semenov and Aleksandra Denisova},
journal= {arXiv preprint arXiv:2109.09174},
year = {2021}
}
Comments
7 pages