AbstractIf G is a linear Noetherian group, then (a) Φ(G), the Frattini subgroup of G is nilpotent; (b) if GΦ(G) is nilpotent, then G is nilpotent
AbstractThe main result established here is that if G is a locally finite group that has all subgrou...
Let g be an element of a group G. For a positive integer n, let En(g) be the subgroup generated by a...
Suppose that a finite group G admits a Frobenius group of automorphisms with kernel F and complement...
AbstractIf G is a linear Noetherian group, then (a) Φ(G), the Frattini subgroup of G is nilpotent; (...
AbstractAccording to L. Auslander and R. Swan any group containing a polycyclic subgroup of finite i...
For a finite group G and an arbitrary prime p, let Sp (G) denote the intersection of all maximal sub...
AbstractIf a finite group G is the product of two nilpotent subgroups A and B and if N is a minimal ...
AbstractLetGbe a polycyclic group. We prove that if the nilpotent length of each finite quotient ofG...
Let $G$ be a group with $|\pi(G)| \geq 3$. In this paper it is shown that $G$ is nilpotent if and on...
AbstractLet N be a normal subgroup of the group G. By a result of P. Hall, G is nilpotent if N and G...
AbstractJ.D. Dixon has characterized those pairs (n,F), where n is a positive integer and F a field,...
AbstractWe explore the class B of generalized nilpotent groups in the universe c[formula] of all rad...
AbstractIt is shown that a semigroup S is finitely generated whenever the semigroup algebra K[S] is ...
In this note alternate proofs of some basic results of finite group theory are presented
The authors haracterize the finite groups in which H(G) , the intersection of the maximal non nilpot...
AbstractThe main result established here is that if G is a locally finite group that has all subgrou...
Let g be an element of a group G. For a positive integer n, let En(g) be the subgroup generated by a...
Suppose that a finite group G admits a Frobenius group of automorphisms with kernel F and complement...
AbstractIf G is a linear Noetherian group, then (a) Φ(G), the Frattini subgroup of G is nilpotent; (...
AbstractAccording to L. Auslander and R. Swan any group containing a polycyclic subgroup of finite i...
For a finite group G and an arbitrary prime p, let Sp (G) denote the intersection of all maximal sub...
AbstractIf a finite group G is the product of two nilpotent subgroups A and B and if N is a minimal ...
AbstractLetGbe a polycyclic group. We prove that if the nilpotent length of each finite quotient ofG...
Let $G$ be a group with $|\pi(G)| \geq 3$. In this paper it is shown that $G$ is nilpotent if and on...
AbstractLet N be a normal subgroup of the group G. By a result of P. Hall, G is nilpotent if N and G...
AbstractJ.D. Dixon has characterized those pairs (n,F), where n is a positive integer and F a field,...
AbstractWe explore the class B of generalized nilpotent groups in the universe c[formula] of all rad...
AbstractIt is shown that a semigroup S is finitely generated whenever the semigroup algebra K[S] is ...
In this note alternate proofs of some basic results of finite group theory are presented
The authors haracterize the finite groups in which H(G) , the intersection of the maximal non nilpot...
AbstractThe main result established here is that if G is a locally finite group that has all subgrou...
Let g be an element of a group G. For a positive integer n, let En(g) be the subgroup generated by a...
Suppose that a finite group G admits a Frobenius group of automorphisms with kernel F and complement...
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