FINITE GROUPS WITH SOME WEAKLY S-SUPPLEMENTED SUBGROUPS

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the nc-supplemented subgroups of finite groups

a subgroup $h$ is said to be $nc$-supplemented in a group $g$ if there exists a subgroup $kleq g$ such that $hklhd g$ and $hcap k$ is contained in $h_{g}$, the core of $h$ in $g$. we characterize the supersolubility of finite groups $g$ with that every maximal subgroup of the sylow subgroups is $nc$-supplemented in $g$.

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finite groups whose minimal subgroups are weakly h*-subgroups

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ژورنال

عنوان ژورنال: Glasgow Mathematical Journal

سال: 2010

ISSN: 0017-0895,1469-509X

DOI: 10.1017/s0017089510000649