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arXiv · 2006.02265

Finite groups contain large centralizers

Daniel Palacín
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Abstract

Every finite non-abelian group of order $n$ has a non-central element whose centralizer has order exceeding $n^{1/3}$. The proof does not rely on the classification of finite simple groups, yet it uses the Feit-Thompson theorem.

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Daniel Palacín. 2020-06-03. Finite groups contain large centralizers. https://arxiv.org/abs/2006.02265

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