Add to ORKGThis paper will consider the growth of the number of normal subgroups in a nonabelian group under the direct product operation. The groups considered in this paper are dihedral groups and semidirect products with a similar structure. Many proofs will rely on the use of a key property of normal subgroups, namely closure under conjugation, to predict this growth
The subgroup growth and the normal growth of a pronilpotent group is multiplicative. We show the con...
AbstractTo take care of the fact that a normal subgroup of a normal subgroup need not be normal in t...
Normal subgroups and there properties for finite and infinite iterated wreath products $S_{n_1}\wr \...
simple, visual explanations of semidirect products and related concepts. Along the way, we prove an ...
Investigation of groups satisfying certain related to arrangement of subgroups conditions allows alg...
Investigation of groups satisfying certain related to arrangement of subgroups conditions allows alg...
AbstractTo take care of the fact that a normal subgroup of a normal subgroup need not be normal in t...
The semidirect product of groups is a generalization of the direct product construction and provides...
AbstractWe give criteria to characterize abnormal, pronormal and locally pronormal subgroups of a di...
In this paper, we characterize and compute the mixed and non-mixed basis of Dihedral groups. Also, b...
In this paper, we characterize and compute the mixed and non-mixed basis of Dihedral groups. Also, b...
In this paper we prove that if G is a group for which there are k non-Frattini chief factors isomorp...
In this paper we prove that if G is a group for which there are k non-Frattini chief factors isomorp...
In this paper we prove that if G is a group for which there are k non-Frattini chief factors isomorp...
The subgroup growth and the normal growth of a pronilpotent group is multiplicative. We show the con...
The subgroup growth and the normal growth of a pronilpotent group is multiplicative. We show the con...
AbstractTo take care of the fact that a normal subgroup of a normal subgroup need not be normal in t...
Normal subgroups and there properties for finite and infinite iterated wreath products $S_{n_1}\wr \...
simple, visual explanations of semidirect products and related concepts. Along the way, we prove an ...
Investigation of groups satisfying certain related to arrangement of subgroups conditions allows alg...
Investigation of groups satisfying certain related to arrangement of subgroups conditions allows alg...
AbstractTo take care of the fact that a normal subgroup of a normal subgroup need not be normal in t...
The semidirect product of groups is a generalization of the direct product construction and provides...
AbstractWe give criteria to characterize abnormal, pronormal and locally pronormal subgroups of a di...
In this paper, we characterize and compute the mixed and non-mixed basis of Dihedral groups. Also, b...
In this paper, we characterize and compute the mixed and non-mixed basis of Dihedral groups. Also, b...
In this paper we prove that if G is a group for which there are k non-Frattini chief factors isomorp...
In this paper we prove that if G is a group for which there are k non-Frattini chief factors isomorp...
In this paper we prove that if G is a group for which there are k non-Frattini chief factors isomorp...
The subgroup growth and the normal growth of a pronilpotent group is multiplicative. We show the con...
The subgroup growth and the normal growth of a pronilpotent group is multiplicative. We show the con...
AbstractTo take care of the fact that a normal subgroup of a normal subgroup need not be normal in t...
Normal subgroups and there properties for finite and infinite iterated wreath products $S_{n_1}\wr \...