The product of generalized subnormal subgroups in finite groups
نویسندگان
چکیده
منابع مشابه
Finite Groups Whose «-maximal Subgroups Are Subnormal
Introduction. Dedekind has determined all groups whose subgroups are all normal (see, e.g., [5, Theorem 12.5.4]). Partially generalizing this, Wielandt showed that a finite group is nilpotent, if and only if all its subgroups are subnormal, and also if and only if all maximal subgroups are normal [5, Corollary 10.3.1, 10.3.4]. Huppert [7, Sätze 23, 24] has shown that if all 2nd-maximal subgroup...
متن کاملon supersolvability of finite groups with $mathbb p$-subnormal subgroups
in this paper we find systems of subgroups of a finite group, which $bbb p$nobreakdash-hspace{0pt}subnormality guarantees supersolvability of the whole group.
متن کاملThe 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 $G$.
متن کاملon supersolvability of finite groups with $bbb p$-subnormal subgroups
in this paper we find systems of subgroups of a finite group, which $bbb p$-subnormality guarantees supersolvability of the whole group.
متن کاملClassifying fuzzy normal subgroups of finite groups
In this paper a first step in classifying the fuzzy normalsubgroups of a finite group is made. Explicit formulas for thenumber of distinct fuzzy normal subgroups are obtained in theparticular cases of symmetric groups and dihedral groups.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Siberian Mathematical Journal
سال: 2009
ISSN: 0037-4466,1573-9260
DOI: 10.1007/s11202-009-0081-9