6533b86efe1ef96bd12cbd21

RESEARCH PRODUCT

A note on Sylow permutable subgroups of infinite groups

Leonid A. KurdachenkoS. Camp-moraAdolfo Ballester-bolinches

subject

p-groupNormal subgroupCombinatoricsMathematics::Group TheoryNormal p-complementComplement (group theory)Mathematics::CombinatoricsAlgebra and Number TheorySubgroupLocally finite groupSylow theoremsIndex of a subgroupMathematics

description

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

https://doi.org/10.1016/j.jalgebra.2013.08.042