Add to ORKGAbstract. We prove that for every > 0 there exists a δ> 0 so that every group of order n ≥ 3 has at least δ log2 n/(log2 log2 n)3+ conjugacy classes. This sharpens earlier results of Pyber and Keller. Bertram speculates whether it is true that every finite group of order n has more than log3 n conjugacy classes. We answer Bertram’s question in the affirmative for groups with a trivial solvable radical. 1
The project will investigate the relationship between the number of conjugacy classes of a finite gr...
In this paper we prove the following long-standing conjecture in the theory of finite groups: Finit...
We determine the structure of all finite groups with four class sizes when two of them are coprime n...
We prove that for every ϵ > 0 there exists a δ > 0 such that every group of order n ≥ 3 has at least...
We prove that every group of order n contains at least e log «/(log log nf conjugacy classes for som...
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...
For a finite group G, let k(G) denote the number of conjugacy classes of G. If G is a finite permuta...
In any group G, we may extend the definition of the conjugacy class of an element to the conjugacy c...
We prove that any permutation group of degree n at least 4 has at most 5(n-1)/3 conjugacy classes. ©...
Abstract. Let G be a finite group, p a prime divisor of the order of G, and k(G) the number of conju...
AbstractIt has been proved recently by Moretó (2007) [8] and Craven (2008) [3] that the order of a f...
Abstract. Denote by k(G) the number of conjugacy classes of a group G. Some inequalities are deduced...
AbstractLet ν(G) denote the number of conjugacy classes of non-normal subgroups of a groupG. We prov...
The project will investigate the relationship between the number of conjugacy classes of a finite gr...
In this paper we prove the following long-standing conjecture in the theory of finite groups: Finit...
We determine the structure of all finite groups with four class sizes when two of them are coprime n...
We prove that for every ϵ > 0 there exists a δ > 0 such that every group of order n ≥ 3 has at least...
We prove that every group of order n contains at least e log «/(log log nf conjugacy classes for som...
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...
For a finite group G, let k(G) denote the number of conjugacy classes of G. If G is a finite permuta...
In any group G, we may extend the definition of the conjugacy class of an element to the conjugacy c...
We prove that any permutation group of degree n at least 4 has at most 5(n-1)/3 conjugacy classes. ©...
Abstract. Let G be a finite group, p a prime divisor of the order of G, and k(G) the number of conju...
AbstractIt has been proved recently by Moretó (2007) [8] and Craven (2008) [3] that the order of a f...
Abstract. Denote by k(G) the number of conjugacy classes of a group G. Some inequalities are deduced...
AbstractLet ν(G) denote the number of conjugacy classes of non-normal subgroups of a groupG. We prov...
The project will investigate the relationship between the number of conjugacy classes of a finite gr...
In this paper we prove the following long-standing conjecture in the theory of finite groups: Finit...
We determine the structure of all finite groups with four class sizes when two of them are coprime n...