In this paper we give a structure theorem for the finite groups with three conjugacy class sizes. In particular, they are solvable groups with derived length at most 3 or nilpotent groups
AbstractFor a finite groupG, letk(G) denote the number of conjugacy classes ofG. We prove that a sim...
AbstractWe consider the problem of how the nilpotency class of a finite p-group can be bounded in te...
Suppose that G is a finite group and K is a non-trivial conjugacy class of G such that KK−1 = 1 ∪ D ...
In this paper we give a structure theorem for the finite groups with three conjugacy class sizes. In ...
AbstractLet G be a finite solvable group. We assume that the set of conjugacy class sizes of G is {1...
Let G be a finite solvable group. We assume that the set of conjugacy class sizes of G is {1, m, n, ...
AbstractIn this paper we prove the following long-standing conjecture in the theory of finite groups...
In this paper we prove the following long-standing conjecture in the theory of finite groups: Finit...
Let G be a finite group. The question of how certain arithmetical conditions on the lengths of the c...
Let G be a finite p-solvable group. We describe the structure of the p-complements of G when the set...
We determine the structure of all finite groups with four class sizes when two of them are coprime n...
Let G be a finite group and suppose that the set of conjugacy class sizes of G is f1; m; mng, where ...
In this paper, we classify all finite groups satisfying the following property: their conjugacy clas...
In this paper, we investigate the irreducible characters and the conjugacy class sizes for some 2-gr...
We describe the structure of the finite groups in which the sizes of noncentral conjugacy classes ...
AbstractFor a finite groupG, letk(G) denote the number of conjugacy classes ofG. We prove that a sim...
AbstractWe consider the problem of how the nilpotency class of a finite p-group can be bounded in te...
Suppose that G is a finite group and K is a non-trivial conjugacy class of G such that KK−1 = 1 ∪ D ...
In this paper we give a structure theorem for the finite groups with three conjugacy class sizes. In ...
AbstractLet G be a finite solvable group. We assume that the set of conjugacy class sizes of G is {1...
Let G be a finite solvable group. We assume that the set of conjugacy class sizes of G is {1, m, n, ...
AbstractIn this paper we prove the following long-standing conjecture in the theory of finite groups...
In this paper we prove the following long-standing conjecture in the theory of finite groups: Finit...
Let G be a finite group. The question of how certain arithmetical conditions on the lengths of the c...
Let G be a finite p-solvable group. We describe the structure of the p-complements of G when the set...
We determine the structure of all finite groups with four class sizes when two of them are coprime n...
Let G be a finite group and suppose that the set of conjugacy class sizes of G is f1; m; mng, where ...
In this paper, we classify all finite groups satisfying the following property: their conjugacy clas...
In this paper, we investigate the irreducible characters and the conjugacy class sizes for some 2-gr...
We describe the structure of the finite groups in which the sizes of noncentral conjugacy classes ...
AbstractFor a finite groupG, letk(G) denote the number of conjugacy classes ofG. We prove that a sim...
AbstractWe consider the problem of how the nilpotency class of a finite p-group can be bounded in te...
Suppose that G is a finite group and K is a non-trivial conjugacy class of G such that KK−1 = 1 ∪ D ...