Add to ORKG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2013年提出的一个问题，统一推广了由刘晓蕾于2011年得到的三个定理． Let G be a finite group with subgroups A and B such that G = AB. If A is subnormal in G and for any p ∈π （G） and any p＇-element x of A ∪B with prime power order, ｜xG｜ is not divisible by p2, then G is supersolvable. This result gives a positive answer to a problem posed in 2013 by Shi Xiangdong, Wei Huaquan and Ma Xuanlong and a unify generalization of three theorems obtained in 2011 by Liu Xiaolei.国家自然科学基金资助项目(11361006,11161006)； 广西大学科研基金资助项目(XGZ130761
Assume that \(m\) and \(n\) are two positive integers which do not divide each other. If the set of ...
AbstractLet G be a finite solvable group. We assume that the set of conjugacy class sizes of G is {1...
We give in this note some new bounds on rho(c)(G) in terms of sigma(c)(G) for several classes of fin...
Let G be a finite group. The question of how certain arithmetical conditions on the lengths of the c...
Let be a finite group and the largest conjugacy class length of . In this note we slightly improve H...
AbstractLet G be a finite group. The question of how certain arithmetical conditions on the degrees ...
We consider finite groups in which, for all primes p, the p-part of the length of any conjugacy clas...
Güloğlu, İsmail Şuayip (Dogus Author)In this paper, we classify all finite groups satisfying the fol...
Let G be a finite p-solvable group and let G¤ be the set of elements of primary and biprimary order...
Abstract. Every finite group whose order is divisible by a prime p has at least 2 p − 1 conjugacy cl...
Let G be a finite solvable group. We assume that the set of conjugacy class sizes of G is {1, m, n, ...
The project will investigate the relationship between the number of conjugacy classes of a finite gr...
证明了非幂零极大子群共轭类类数等于2的有限群必可解,并给出了非幂零极大子群同阶类类数等于2的非可解群的等价刻画.国家自然科学基金; 中国博士后科学基金中文核心期刊要目总览(PKU)中国科技核心期刊(I...
Suppose that G is a finite group and K is a non-trivial conjugacy class of G such that KK−1 = 1 ∪ D ...
设G为恰有k个极大子群共轭类的有限群,m_1…,m_k分别为相应的共轭类长且m_1≤…≤m_k,则称MT(G)=(m_1…,m_k)为有限群G的极大子群共轭类型.主要研究问题:设K为一个群类,G和N为...
Assume that \(m\) and \(n\) are two positive integers which do not divide each other. If the set of ...
AbstractLet G be a finite solvable group. We assume that the set of conjugacy class sizes of G is {1...
We give in this note some new bounds on rho(c)(G) in terms of sigma(c)(G) for several classes of fin...
Let G be a finite group. The question of how certain arithmetical conditions on the lengths of the c...
Let be a finite group and the largest conjugacy class length of . In this note we slightly improve H...
AbstractLet G be a finite group. The question of how certain arithmetical conditions on the degrees ...
We consider finite groups in which, for all primes p, the p-part of the length of any conjugacy clas...
Güloğlu, İsmail Şuayip (Dogus Author)In this paper, we classify all finite groups satisfying the fol...
Let G be a finite p-solvable group and let G¤ be the set of elements of primary and biprimary order...
Abstract. Every finite group whose order is divisible by a prime p has at least 2 p − 1 conjugacy cl...
Let G be a finite solvable group. We assume that the set of conjugacy class sizes of G is {1, m, n, ...
The project will investigate the relationship between the number of conjugacy classes of a finite gr...
证明了非幂零极大子群共轭类类数等于2的有限群必可解,并给出了非幂零极大子群同阶类类数等于2的非可解群的等价刻画.国家自然科学基金; 中国博士后科学基金中文核心期刊要目总览(PKU)中国科技核心期刊(I...
Suppose that G is a finite group and K is a non-trivial conjugacy class of G such that KK−1 = 1 ∪ D ...
设G为恰有k个极大子群共轭类的有限群,m_1…,m_k分别为相应的共轭类长且m_1≤…≤m_k,则称MT(G)=(m_1…,m_k)为有限群G的极大子群共轭类型.主要研究问题:设K为一个群类,G和N为...
Assume that \(m\) and \(n\) are two positive integers which do not divide each other. If the set of ...
AbstractLet G be a finite solvable group. We assume that the set of conjugacy class sizes of G is {1...
We give in this note some new bounds on rho(c)(G) in terms of sigma(c)(G) for several classes of fin...