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arxiv: 1112.2279 · v1 · pith:U5YKINU4new · submitted 2011-12-10 · 🧮 math.GR

Weak closure and Oliver's p-group conjecture

classification 🧮 math.GR
keywords conjectureoliverclosedp-groupweaklyalmostclosureconstruct
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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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