A note on Sylow permutable subgroups of infinite groups

A subgroup A of a periodic group G is said to be Sylow permutable, or S-permutable, subgroup of G if AP=PA for all Sylow subgroups P of G. The aim of this paper is to establish the local nilpotency of the section AG/CoreG(A) for an S-permutable subgroup A of a locally finite group G.