Abstract
The aim of this article is to prove the following theorem. Let G be any infinite simple locally finite group. Then, either G is isomorphic to \(\mathrm{{PSL}}(2,F)\), where F is an infinite locally finite field, or G contains a subgroup which is the direct product of an infinite abelian subgroup of prime exponent p and a finite non-abelian p-subgroup.
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Brescia, M., Russo, A. On Centralizers of Locally Finite Simple Groups. Mediterr. J. Math. 16, 114 (2019). https://doi.org/10.1007/s00009-019-1401-3
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DOI: https://doi.org/10.1007/s00009-019-1401-3