Groups generated by pattern avoiding permutations
Combinatorics
2024-07-08 v1
Abstract
We study groups generated by sets of pattern avoiding permutations. In the first part of the paper we prove some general results concerning the structure of such groups. In the second part we carry out a case-by-case analysis of groups generated by permutations avoiding few short patterns.
Cite
@article{arxiv.2402.03107,
title = {Groups generated by pattern avoiding permutations},
author = {Marilena Barnabei and Niccolò Castronuovo and Matteo Silimbani},
journal= {arXiv preprint arXiv:2402.03107},
year = {2024}
}
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29 pages