The powerful class of Sylow subgroups of finite groups
Group Theory
2024-10-22 v1
Abstract
The paper explores the effect of powerful class of Sylow -subgroups of a given finite group on control of transfer or fusion. We also find an explicit bound for the -length of a -solvable group in terms of the poweful class of a Sylow -subgroup.
Cite
@article{arxiv.2410.15348,
title = {The powerful class of Sylow subgroups of finite groups},
author = {Primoz Moravec},
journal= {arXiv preprint arXiv:2410.15348},
year = {2024}
}