Add to ORKGIn this paper, G denotes a non-abelian metabelian group and cl(x) denotes conjugacy class of the element x in G. Conjugacy class is an equivalence relation and it partitions the group into disjoint equivalence classes or sets. Meanwhile, a group is called metabelian if it has an abelian normal subgroup in which the factor group is also abelian. It has been proven by an earlier researcher that there are 25 non-abelian metabelian groups of order less than 24 which are considered in this paper. In this study, the number of conjugacy classes of non-abelian metabelian groups of order less than 24 is computed
AbstractA knowledge of the simple representation theory of finite abelian groups is useful for under...
summary:We show that any finite 2-group, whose abelianization has either 4-rank at most 2 or 8-rank ...
AbstractFor a finite groupG, letk(G) denote the number of conjugacy classes ofG. We prove that a sim...
In this paper, G denotes a non-abelian metabelian group and cl(x) denotes conjugacy class of the ele...
In this work, a non-abelian metabelian group is represented by G while represents conjugacy class gr...
In any group G, if and only if there exists an abelian normal subgroup A such that the factor group,...
In this paper, the conjugacy classes of three metabelian groups, namely the Quasi-dihedral group, Di...
A metabelian group is a group whose commutator subgroup is abelian. Similarly, a group G is metabeli...
A metabelian group is a group whose commutator subgroup is abelian. Equivalently, a group G is metab...
Let G be a finite non-abelian metacyclic p-group where p is any prime. We compute the exact number o...
A group G is metabelian if and only if there exists an abelian normal subgroup, A such that the fact...
In this study, the orbits of non abelian metabelian groups of order 26, 28 and 30 are found using co...
In this paper, G denotes a metacyclic 2-group of order at most 32 and ? denotes a simple undirected ...
In this paper the number of conjugacy classes of for some non-abelian finite groups is computed. Als...
We survey known results concerning how the conjugacy classes contained in a normal subgroup and thei...
AbstractA knowledge of the simple representation theory of finite abelian groups is useful for under...
summary:We show that any finite 2-group, whose abelianization has either 4-rank at most 2 or 8-rank ...
AbstractFor a finite groupG, letk(G) denote the number of conjugacy classes ofG. We prove that a sim...
In this paper, G denotes a non-abelian metabelian group and cl(x) denotes conjugacy class of the ele...
In this work, a non-abelian metabelian group is represented by G while represents conjugacy class gr...
In any group G, if and only if there exists an abelian normal subgroup A such that the factor group,...
In this paper, the conjugacy classes of three metabelian groups, namely the Quasi-dihedral group, Di...
A metabelian group is a group whose commutator subgroup is abelian. Similarly, a group G is metabeli...
A metabelian group is a group whose commutator subgroup is abelian. Equivalently, a group G is metab...
Let G be a finite non-abelian metacyclic p-group where p is any prime. We compute the exact number o...
A group G is metabelian if and only if there exists an abelian normal subgroup, A such that the fact...
In this study, the orbits of non abelian metabelian groups of order 26, 28 and 30 are found using co...
In this paper, G denotes a metacyclic 2-group of order at most 32 and ? denotes a simple undirected ...
In this paper the number of conjugacy classes of for some non-abelian finite groups is computed. Als...
We survey known results concerning how the conjugacy classes contained in a normal subgroup and thei...
AbstractA knowledge of the simple representation theory of finite abelian groups is useful for under...
summary:We show that any finite 2-group, whose abelianization has either 4-rank at most 2 or 8-rank ...
AbstractFor a finite groupG, letk(G) denote the number of conjugacy classes ofG. We prove that a sim...