On Oliver's p-group conjecture
Group Theory
2015-02-23 v2
Abstract
Let S be a p-group for an odd prime p. Bob Oliver conjectures that a certain characteristic subgroup X(S) always contains the Thompson subgroup J(S). We obtain a reformulation of the conjecture as a statement about modular representations of p-groups. Using this we verify Oliver's conjecture for groups where S/X(S) has nilpotence class at most two.
Keywords
Cite
@article{arxiv.0804.2763,
title = {On Oliver's p-group conjecture},
author = {David J. Green and László Héthelyi and Markus Lilienthal},
journal= {arXiv preprint arXiv:0804.2763},
year = {2015}
}
Comments
9 pages; terminology altered to conform to current usage