On Oliver's p-group conjecture: II
Group Theory
2015-02-23 v1 Algebraic Topology
Abstract
Let p be an odd prime and S a finite p-group. B. Oliver's conjecture arises from an open problem in the theory of p-local finite groups. It is the claim that a certain characteristic subgroup X(S) of S always contains the Thompson subgroup. In previous work the first two authors and M. Lilienthal recast Oliver's conjecture as a statement about the representation theory of the factor group S/X(S). We now verify the conjecture for a wide variety of groups S/X(S).
Cite
@article{arxiv.0901.3833,
title = {On Oliver's p-group conjecture: II},
author = {D. J. Green and L. Héthelyi and N. Mazza},
journal= {arXiv preprint arXiv:0901.3833},
year = {2015}
}
Comments
12 pages