On a strong form of Oliver's p-group conjecture
Group Theory
2015-02-23 v2
Abstract
We introduce a strong form of Oliver's p-group conjecture and derive a reformulation in terms of the modular representation theory of a quotient group. The Sylow p-subgroups of the symmetric group S_n and of the general linear group GL_n(F_q) satisfy both the strong conjecture and its reformulation.
Keywords
Cite
@article{arxiv.1003.1904,
title = {On a strong form of Oliver's p-group conjecture},
author = {David J. Green and László Héthelyi and Nadia Mazza},
journal= {arXiv preprint arXiv:1003.1904},
year = {2015}
}
Comments
18 pages. Corrected grant acknowledgement.