Fixed point ratios, Sylow numbers and coverings of $p$-elements in finite groups
Group Theory
2024-07-31 v1
Abstract
Fixed point ratios for primitive permutation groups have been extensively studied. Relying on a recent work of Burness and Guralnick, we obtain further results in the area. For a prime and a finite group , we use fixed point ratios to study the number of Sylow -subgroups of and the minimal size of a covering by proper subgroups of the set of -elements of .
Keywords
Cite
@article{arxiv.2407.20355,
title = {Fixed point ratios, Sylow numbers and coverings of $p$-elements in finite groups},
author = {Robert M. Guralnick and Attila Maróti and Juan Martínez Madrid and Alexander Moretó and Noelia Rizo},
journal= {arXiv preprint arXiv:2407.20355},
year = {2024}
}