The authors haracterize the finite groups in which H(G) , the intersection of the maximal non nilpotent subgroups of G , is nilpotent , but different from the Frattini subgroup. Further if F is a saturated foprmation and if F(G) is the intersection of all the maximal subgroups of G not belonging to F , a necessary and sufficient condition is given for F(G) to be nilpotent different from the Frattini subgroup
Let G be a finite group and pi a set of primes. We consider the families of subgroups of G: F1 = {...
AbstractWe define, in each finite group G, some subgroups of Frattini-type in relation with a satura...
Let $G$ be a group with $|\pi(G)| \geq 3$. In this paper it is shown that $G$ is nilpotent if and on...
The authors haracterize the finite groups in which H(G) , the intersection of the maximal non nilpot...
If G is a non soluble finite group the intersection of the maximal subgroups of G that are not nilp...
For a finite group G and an arbitrary prime p, let Sp (G) denote the intersection of all maximal sub...
Frattini subgroup, , of a group G is the intersection of all the maximal subgroups of G, or else G i...
AbstractLet G be a finite solvable group and F a saturated formation. We characterize the intersecti...
AbstractIf G is a linear Noetherian group, then (a) Φ(G), the Frattini subgroup of G is nilpotent; (...
AbstractWe investigate the influence of the intersection of the F-maximal subgroups on the structure...
AbstractGiven a finite group G, we define the subgroup D(G) to be the intersection of the normalizer...
AbstractGiven a finite group G and any set of primes π, we define here two subgroups Sπ(G) and Φπ(G)...
Finite non-solvable groups with a maximal subgroupA satisfying the following condition are classifie...
AbstractLet F be a class of groups. A subgroup H of a group G is said to be a maximal F-subgroup of ...
summary:Suppose that $G$ is a finite group and $H$ is a subgroup of $G$. Subgroup $H$ is said to be ...
Let G be a finite group and pi a set of primes. We consider the families of subgroups of G: F1 = {...
AbstractWe define, in each finite group G, some subgroups of Frattini-type in relation with a satura...
Let $G$ be a group with $|\pi(G)| \geq 3$. In this paper it is shown that $G$ is nilpotent if and on...
The authors haracterize the finite groups in which H(G) , the intersection of the maximal non nilpot...
If G is a non soluble finite group the intersection of the maximal subgroups of G that are not nilp...
For a finite group G and an arbitrary prime p, let Sp (G) denote the intersection of all maximal sub...
Frattini subgroup, , of a group G is the intersection of all the maximal subgroups of G, or else G i...
AbstractLet G be a finite solvable group and F a saturated formation. We characterize the intersecti...
AbstractIf G is a linear Noetherian group, then (a) Φ(G), the Frattini subgroup of G is nilpotent; (...
AbstractWe investigate the influence of the intersection of the F-maximal subgroups on the structure...
AbstractGiven a finite group G, we define the subgroup D(G) to be the intersection of the normalizer...
AbstractGiven a finite group G and any set of primes π, we define here two subgroups Sπ(G) and Φπ(G)...
Finite non-solvable groups with a maximal subgroupA satisfying the following condition are classifie...
AbstractLet F be a class of groups. A subgroup H of a group G is said to be a maximal F-subgroup of ...
summary:Suppose that $G$ is a finite group and $H$ is a subgroup of $G$. Subgroup $H$ is said to be ...
Let G be a finite group and pi a set of primes. We consider the families of subgroups of G: F1 = {...
AbstractWe define, in each finite group G, some subgroups of Frattini-type in relation with a satura...
Let $G$ be a group with $|\pi(G)| \geq 3$. In this paper it is shown that $G$ is nilpotent if and on...
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