Finite groups contain large centralizers

2020/06/03 by Palacín, Daniel
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2006.02265

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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