C-normal and C-permutable subgroups in finite groups

Doaa Mustafa Al-Sharo,Hajar Sulaiman

doi:10.1063/1.4903611

C-normal and C-permutable subgroups in finite groups

Doaa Mustafa Al-Sharo, Hajar Sulaiman

https://doi.org/10.1063/1.4903611

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Publication Date: Jan 1, 2014

#Subgroups In Finite Groups #New Classes Of Groups + Show 2 more

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Abstract

All groups considered here are finite. The c-normality and c-permutability of subgroups in finite groups were recently discovered and a number of related results have been published. Here, we present new classes of groups which we call SCN-groups and SCP-groups. We call a group an SCN-group (resp. SCP-group) if all its subnormal subgroups are c-normal (resp. c-permutable).

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