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A note on Sylow permutable subgroups of infinite groups

2014

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.

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