Finite groups with all subgroups not contained in the Frattini subgroup permutable |
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Authors: | Joseph Kirtland |
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Institution: | 1.Department of Mathematics,Marist College,Poughkeepsie,USA |
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Abstract: | Let G be a finite group. A subgroup H of G is a permutable subgroup of G if HK = KH for all subgroups K of G. It will be shown that if all subgroups not contained in the Frattini subgroup are permutable in a group G, then all subgroups are permutable in G. |
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