TITLE

FINITE GROUPS WHOSE MINIMAL SUBGROUPS ARE WEAKLY H*-SUBGROUPS

AUTHOR(S)
HELIEL, A. A.; HIJAZI, ROLA A.; AL-OBIDY, REEM A.
PUB. DATE
September 2014
SOURCE
International Journal of Group Theory;2014, Vol. 3 Issue 3, p1
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
Let G be a finite group. A subgroup H of G is called an H-subgroup in G if NG(H)\Hg ≥ Hg⩽ H for all g ∊ G. A subgroup H of G is called a weakly H*-subgroup in G if there exists a subgroup K of G such that G = HK and H ∩ K is an H-subgroup in G. We investigate the structure of the finite group G under the assumption that every cyclic subgroup of G of prime order p or of order 4 (if p = 2) is a weakly H*-subgroup in G. Our results improve and extend a series of recent results in the literature.
ACCESSION #
94745565

 

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