Intersecting subgroups of finite soluble groups
نویسندگان
چکیده
منابع مشابه
Classifying 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 کاملintersections of prefrattini subgroups in finite soluble groups
let $h$ be a prefrattini subgroup of a soluble finite group $g$. in the paper it is proved that there exist elements $x,y in g$ such that the equality $h cap h^x cap h^y = phi (g)$ holds.
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 کاملCLASSIFYING FUZZY SUBGROUPS OF FINITE NONABELIAN GROUPS
In this paper a rst step in classifying the fuzzy subgroups of a nite nonabelian group is made. We develop a general method to count the number of distinct fuzzy subgroups of such groups. Explicit formulas are obtained in the particular case of dihedral groups.
متن کاملCENTRALISERS OF FINITE SUBGROUPS IN SOLUBLE GROUPS OF TYPE FPn
We show that for soluble groups of type FPn, centralisers of finite subgroups need not be of type FPn.
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ژورنال
عنوان ژورنال: Journal of Symbolic Computation
سال: 1988
ISSN: 0747-7171
DOI: 10.1016/s0747-7171(88)80031-2