Title: On Weakly ℋ-embedded Subgroups of Finite Groups
Abstract: Let G be a finite group and H a subgroup of G. We say that H is an ℋ-subgroup in G if NG(H) ∩ Hg ≤ H for all g ∈ G; H is called weakly ℋ-subgroup in G if G has a normal subgroup K such that G = HK and H ∩ K is an ℋ-subgroup in G. We say that H is weakly ℋ -embedded in G if G has a normal subgroup K such that HG = HK and H ∩ K is an ℋ-subgroup in G. In this paper, we investigate the structure of the finite group G under the assumption that some subgroups of prime power order are weakly ℋ-embedded in G. Our results improve and generalize several recent results in the literature.
Publication Year: 2016
Publication Date: 2016-06-03
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 7
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