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Groups whose primary subgroups are normal sensitive |
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| Authors: | Adolfo Ballester-Bolinches Leonid A Kurdachenko Javier Otal Tatiana Pedraza |
| Institution: | 1. Departament d’àlgebra, Universitat de València, Dr Moliner 50, 46100?, Burjassot (València), Spain 2. Department of Algebra, National University of Dnepropetrovsk, Gagarin prospect 72, 49010?, Dnepropetrovsk, Ukraine 3. Departmento de Matemáticas, IUMA, Universidad de Zaragoza, Pedro Cerbuna 12, 50009?, Zaragoza, Spain 4. Instituto Universitario de Matemática Pura y Aplicada, Universidad Politécnica de Valencia, Camino de Vera s/n, 46022?, Valencia, Spain |
| Abstract: | A subgroup \(H\) of a group \(G\) is said to be normal sensitive in \(G\) if for every normal subgroup \(N\) of \(H, N=H\cap N^{G}\) . 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. |
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