On redundant Sylow subgroups
Group Theory
2023-12-12 v4
Abstract
A Sylow p-subgroup P of a finite group G is called redundant if every p-element of G lies in a Sylow subgroup different from P. Generalizing a recent theorem of Mar\'oti--Mart\'inez--Moret\'o, we show that for every non-cyclic p-group P there exists a solvable group G such that P is redundant in G. Moreover, we answer several open questions raised by Mar\'oti--Mart\'inez--Moret\'o.
Keywords
Cite
@article{arxiv.2311.06931,
title = {On redundant Sylow subgroups},
author = {Benjamin Sambale},
journal= {arXiv preprint arXiv:2311.06931},
year = {2023}
}
Comments
7 pages, v4: minor corrections and improvements