Add to ORKGLet G be a finite group. The question of how certain arithmetical conditions on the lengths of the conjugacy classes of G influence the group structure has been studied by several authors. In this paper we study restrictions on the structure of a finite group in which the lengths of conjugacy classes are not divisible by p2 for some prime p. We generalise and provide simplified proofs for some earlier results
© 2019, Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag GmbH Germany, part of ...
AbstractIn this paper we study various properties of a bipartite graph related to the sizes of the c...
We summarize several results about non-simplicity, solvability and normal structure of finite grou...
AbstractLet G be a finite group. The question of how certain arithmetical conditions on the degrees ...
The question of how certain arithmetical conditions on the lengths of the conjugacy classes of a fin...
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, ...
AbstractLet G be a finite solvable group. We assume that the set of conjugacy class sizes of G is {1...
We consider finite groups in which, for all primes p, the p-part of the length of any conjugacy clas...
We give in this note some new bounds on rho(c)(G) in terms of sigma(c)(G) for several classes of fin...
Abstract. Every finite group whose order is divisible by a prime p has at least 2 p − 1 conjugacy cl...
Let be a finite group and the largest conjugacy class length of . In this note we slightly improve H...
设A和B都是有限群G的子群且G=AB．若A是G的次正规子群，且对每个p∈π（G）以及每个素数幂阶的p’-元x∈A∪B，p2均不整除｜xG｜，则G为超可解群．这个结果正面解答了由石向东，韦华全和马儇龙于...
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, and let F(G) be its Fitting subgroup. We prove that there ...
© 2019, Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag GmbH Germany, part of ...
AbstractIn this paper we study various properties of a bipartite graph related to the sizes of the c...
We summarize several results about non-simplicity, solvability and normal structure of finite grou...
AbstractLet G be a finite group. The question of how certain arithmetical conditions on the degrees ...
The question of how certain arithmetical conditions on the lengths of the conjugacy classes of a fin...
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, ...
AbstractLet G be a finite solvable group. We assume that the set of conjugacy class sizes of G is {1...
We consider finite groups in which, for all primes p, the p-part of the length of any conjugacy clas...
We give in this note some new bounds on rho(c)(G) in terms of sigma(c)(G) for several classes of fin...
Abstract. Every finite group whose order is divisible by a prime p has at least 2 p − 1 conjugacy cl...
Let be a finite group and the largest conjugacy class length of . In this note we slightly improve H...
设A和B都是有限群G的子群且G=AB．若A是G的次正规子群，且对每个p∈π（G）以及每个素数幂阶的p’-元x∈A∪B，p2均不整除｜xG｜，则G为超可解群．这个结果正面解答了由石向东，韦华全和马儇龙于...
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, and let F(G) be its Fitting subgroup. We prove that there ...
© 2019, Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag GmbH Germany, part of ...
AbstractIn this paper we study various properties of a bipartite graph related to the sizes of the c...
We summarize several results about non-simplicity, solvability and normal structure of finite grou...