Structure of finite groups, in which any pronormal subgroup is either normal or abnormal
نویسندگان
چکیده
منابع مشابه
Relative non-Normal Graphs of a Subgroup of Finite Groups
Let G be a finite group and H,K be two subgroups of G. We introduce the relative non-normal graph of K with respect to H , denoted by NH,K, which is a bipartite graph with vertex sets HHK and KNK(H) and two vertices x ∈ H HK and y ∈ K NK(H) are adjacent if xy / ∈ H, where HK =Tk∈K Hk and NK(H) = {k ∈ K : Hk = H}. We determined some numerical invariants and state that when this graph is planar or...
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We study finite groups in which every maximal subgroup is supersoluble or normal. Our results answer some questions arising from papers of Asaad and Rose.
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ژورنال
عنوان ژورنال: Researches in Mathematics
سال: 2021
ISSN: 2664-5009,2664-4991
DOI: 10.15421/241116