Weak closure and Oliver's p-group conjecture

Details Weak closure and Oliver's p-group conjecture Weak closure and Oliver's p-group conjecture

2011-12-10

arxiv.org/abs/1112.2279v1

Mathematics

Group Theory

9 pages

Scientific paper

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.

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