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On Bipermutable and S-Bipermutable Subgroups of Finite Groups |
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PP: 711-717 |
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doi:10.18576/amis/100231
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Author(s) |
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Awni F. Al-Dababseh,
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Abstract |
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| Let H be a subgroup of a finite group G. Then we say that H is: bipermutable in G provided G has subgroups A and B
such that G = AB, H ≤ A and H permutes with all subgroups of A and with all subgroups of B; S-bipermutable in G provided G has
subgroups A and B such that G = AB, H ≤ A and H permutes with all Sylow subgroups of A and with all Sylow p-subgroups of B such
that (|H|, p) = 1. In this paper we analyze the influence of bipermutable and S-bipermutable subgroups on the structure of G. |
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