We prove that for every ϵ > 0 there exists a δ > 0 such that every group of order n ≥ 3 has at least δlog2n/(log2log2n)3+ϵ 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
Let G be a finite group and suppose that the set of conjugacy class sizes of G is f1; m; mng, where ...
open2siThe authors are members of INDAM and are partially supported by BIRD185350/18.Let γn = [x1, …...
Abstract. Denote by k(G) the number of conjugacy classes of a group G. Some inequalities are deduced...
Abstract. We prove that for every > 0 there exists a δ> 0 so that every group of order n ≥ 3 h...
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...
We prove that any permutation group of degree n at least 4 has at most 5(n-1)/3 conjugacy classes. ©...
The project will investigate the relationship between the number of conjugacy classes of a finite gr...
AbstractIt has been proved recently by Moretó (2007) [8] and Craven (2008) [3] that the order of a f...
In this paper we give a structure theorem for the finite groups with three conjugacy class sizes. In ...
Let G be a finite solvable group. We assume that the set of conjugacy class sizes of G is {1, m, n, ...
AbstractLet ν(G) denote the number of conjugacy classes of non-normal subgroups of a groupG. We prov...
Let G be a finite group and suppose that the set of conjugacy class sizes of G is f1; m; mng, where ...
open2siThe authors are members of INDAM and are partially supported by BIRD185350/18.Let γn = [x1, …...
Abstract. Denote by k(G) the number of conjugacy classes of a group G. Some inequalities are deduced...
Abstract. We prove that for every > 0 there exists a δ> 0 so that every group of order n ≥ 3 h...
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...
We prove that any permutation group of degree n at least 4 has at most 5(n-1)/3 conjugacy classes. ©...
The project will investigate the relationship between the number of conjugacy classes of a finite gr...
AbstractIt has been proved recently by Moretó (2007) [8] and Craven (2008) [3] that the order of a f...
In this paper we give a structure theorem for the finite groups with three conjugacy class sizes. In ...
Let G be a finite solvable group. We assume that the set of conjugacy class sizes of G is {1, m, n, ...
AbstractLet ν(G) denote the number of conjugacy classes of non-normal subgroups of a groupG. We prov...
Let G be a finite group and suppose that the set of conjugacy class sizes of G is f1; m; mng, where ...
open2siThe authors are members of INDAM and are partially supported by BIRD185350/18.Let γn = [x1, …...
Abstract. Denote by k(G) the number of conjugacy classes of a group G. Some inequalities are deduced...
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