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Adolfo Ballester-Bolinches, Leonid A. Kurdachenko, Javier Otal, Tatiana Pedraza

Groups whose primary subgroups are normal sensitive

Monats. Math.

http://dx.doi.org/10.1007/s00605-013-0566-2

Abstract: A subgroup H of a group G is said to be normal sensitive in G if for every normal subgroup N of H, N = H ∩ N^G . In this paper we study locally finite groups whose p-subgroups are normal sensitive. We show the connection between these groups and groups in which Sylow permutability is transitive.

Keywords: Locally finite group, Normal sensitivity, Primary subgroup, PST-group, T-group

Mathematics Subject Classification (2000):  20E07, 20E15, 20F22, 20F50