On a strong form of Oliver's p-group conjecture
arXiv:1003.1904 · doi:10.1016/j.jalgebra.2011.05.025
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.
18 pages. Corrected grant acknowledgement.