English

Weak closure and Oliver's p-group conjecture

Group Theory 2017-01-30 v1

Abstract

To date almost all verifications of Oliver's p-group conjecture have proceeded by verifying a stronger conjecture about weakly closed quadratic subgroups. We construct a group of order 3^n for n = 49 which refutes the weakly closed conjecture but satisfies Oliver's conjecture.

Keywords

Cite

@article{arxiv.1112.2279,
  title  = {Weak closure and Oliver's p-group conjecture},
  author = {David J. Green and Justin Lynd},
  journal= {arXiv preprint arXiv:1112.2279},
  year   = {2017}
}

Comments

9 pages

R2 v1 2026-06-21T19:49:13.003Z