Palacín Cruz, Daniel2024-02-032024-02-032021-08-21Palacín, D. Finite groups contain large centralizers. Israel Journal of Mathematics 2021, 244(2), 621–624. doi:10.1007/s11856-021-2183-4.0021-21721565-851110.1007/s11856-021-2183-4https://hdl.handle.net/20.500.14352/98559Every 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.engFinite groups contain large centralizersjournal articlehttps//doi.org/10.1007/s11856-021-2183-4open accessÁlgebra1201.06 Grupos, Generalidades