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arXiv · 1112.2279

Weak closure and Oliver's p-group conjecture

David J. Green·Justin Lynd
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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.

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David J. Green, Justin Lynd. 2011-12-10. Weak closure and Oliver's p-group conjecture. https://doi.org/10.1007/s11856-013-0010-2

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