FINITE GROUPS WHOSE MINIMAL SUBGROUPS ARE WEAKLY H*-SUBGROUPS

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HELIEL ABDELRAHMAN ABDELHAMID; HIJAZI ROLA ASAAD; AL OBIDY REEM ABDULAZIZ

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Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF GROUP THEORY Year:2014 | Volume:3 | Issue:3 Page(s): 1-11

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Title

FINITE GROUPS WHOSE MINIMAL SUBGROUPS ARE WEAKLY H*-SUBGROUPS

Author(s)

HELIEL ABDELRAHMAN ABDELHAMID | HIJAZI ROLA ASAAD | AL OBIDY REEM ABDULAZIZ | Issue Writer Certificate

Keywords

WEAKLY H-SUBGROUP

WEAKLY H*-SUBGROUP

C-SUPPLEMENTED SUBGROUP

GENERALIZED FITTING SUBGROUP

SATURATED FORMATION

Abstract

Let G be a finite group. A subgroup H of G is called an H-subgroup in G if NG (H) Ç Hg £ H for all g Î 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 Ç 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.

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APA: Copy

HELIEL, ABDELRAHMAN ABDELHAMID, HIJAZI, ROLA ASAAD, & AL OBIDY, REEM ABDULAZIZ. (2014). FINITE GROUPS WHOSE MINIMAL SUBGROUPS ARE WEAKLY H*-SUBGROUPS. INTERNATIONAL JOURNAL OF GROUP THEORY, 3(3), 1-11. SID. https://sid.ir/paper/617723/en

Vancouver: Copy

HELIEL ABDELRAHMAN ABDELHAMID, HIJAZI ROLA ASAAD, AL OBIDY REEM ABDULAZIZ. FINITE GROUPS WHOSE MINIMAL SUBGROUPS ARE WEAKLY H*-SUBGROUPS. INTERNATIONAL JOURNAL OF GROUP THEORY[Internet]. 2014;3(3):1-11. Available from: https://sid.ir/paper/617723/en

IEEE: Copy

ABDELRAHMAN ABDELHAMID HELIEL, ROLA ASAAD HIJAZI, and REEM ABDULAZIZ AL OBIDY, “FINITE GROUPS WHOSE MINIMAL SUBGROUPS ARE WEAKLY H*-SUBGROUPS,” INTERNATIONAL JOURNAL OF GROUP THEORY, vol. 3, no. 3, pp. 1–11, 2014, [Online]. Available: https://sid.ir/paper/617723/en

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