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arXiv · 1807.00552

Finite groups with odd Sylow automizers

Chaida Xu·Yuanyang Zhou
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Abstract

Let $p$ be an odd prime number. In this paper, we characterize the nonabelian composition factors of a finite group with odd $p$-Sylow automizers, and then prove that the McKay conjecture, the Alperin weight conjecture and the Alperin-McKay conjecture hold for such group.

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Chaida Xu, Yuanyang Zhou. 2018-07-02. Finite groups with odd Sylow automizers. https://arxiv.org/abs/1807.00552

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