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.
Digital Object Identifier (DOI)
F. Al-Dababseh, Awni
"On Bipermutable and S-Bipermutable Subgroups of Finite Groups,"
Applied Mathematics & Information Sciences: Vol. 10
, Article 31.
Available at: https://dc.naturalspublishing.com/amis/vol10/iss2/31