DOIAbstract
We prove that every group of order n contains at least e log «/(log log nf conjugacy classes for some fixed e> 0. This essentially settles an old problem of Brauer. 1
We prove that every group of order n contains at least e log «/(log log nf conjugacy classes for some fixed e> 0. This essentially settles an old problem of Brauer. 1
Abstract. Let G be a finite group, p a prime divisor of the order of G, and k(G) the number of conju...
AbstractLet G be a finite solvable group. We assume that the set of conjugacy class sizes of G is {1...
We show that an infinite compact Hausdorff group has uncountably many conjugacy classes
Abstract. We prove that for every > 0 there exists a δ> 0 so that every group of order n ≥ 3 h...
We prove that for every ϵ > 0 there exists a δ > 0 such that every group of order n ≥ 3 has at least...
The unsolved problem of whether there exists a positive constant c such that the number k(G) of conj...
AbstractFor a finite groupG, letk(G) denote the number of conjugacy classes ofG. We prove that a sim...
Abstract. Every finite group whose order is divisible by a prime p has at least 2 p − 1 conjugacy cl...
We summarize several results about non-simplicity, solvability and normal structure of finite grou...
In this paper, we classify all finite groups satisfying the following property: their conjugacy clas...
Let G be a finite solvable group. We assume that the set of conjugacy class sizes of G is {1, m, n, ...
For a finite group G, let k(G) denote the number of conjugacy classes of G. If G is a finite permuta...
For any finite group Q not of prime power order, we construct a group G that is virtually of type F,...
Abstract. Let G be a finite group. An element x ∈ G is a real element if x and x−1 are conjugate in ...
Abstract. Denote by k(G) the number of conjugacy classes of a group G. Some inequalities are deduced...
Abstract. Let G be a finite group, p a prime divisor of the order of G, and k(G) the number of conju...
AbstractLet G be a finite solvable group. We assume that the set of conjugacy class sizes of G is {1...
We show that an infinite compact Hausdorff group has uncountably many conjugacy classes
Abstract. We prove that for every > 0 there exists a δ> 0 so that every group of order n ≥ 3 h...
We prove that for every ϵ > 0 there exists a δ > 0 such that every group of order n ≥ 3 has at least...
The unsolved problem of whether there exists a positive constant c such that the number k(G) of conj...
AbstractFor a finite groupG, letk(G) denote the number of conjugacy classes ofG. We prove that a sim...
Abstract. Every finite group whose order is divisible by a prime p has at least 2 p − 1 conjugacy cl...
We summarize several results about non-simplicity, solvability and normal structure of finite grou...
In this paper, we classify all finite groups satisfying the following property: their conjugacy clas...
Let G be a finite solvable group. We assume that the set of conjugacy class sizes of G is {1, m, n, ...
For a finite group G, let k(G) denote the number of conjugacy classes of G. If G is a finite permuta...
For any finite group Q not of prime power order, we construct a group G that is virtually of type F,...
Abstract. Let G be a finite group. An element x ∈ G is a real element if x and x−1 are conjugate in ...
Abstract. Denote by k(G) the number of conjugacy classes of a group G. Some inequalities are deduced...
Abstract. Let G be a finite group, p a prime divisor of the order of G, and k(G) the number of conju...
AbstractLet G be a finite solvable group. We assume that the set of conjugacy class sizes of G is {1...
We show that an infinite compact Hausdorff group has uncountably many conjugacy classes
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