期刊文献+
共找到2篇文章
< 1 >
每页显示 20 50 100
Finite groups with systems of Σ-embedded subgroups 被引量:14
1
作者 GUO WenBin SKIBA Alexander N 《Science China Mathematics》 SCIE 2011年第9期1909-1926,共18页
In recent years,a series of papers about cover-avoiding property of subgroups appeared and all the studies were connected with chief factors of a finite group.However,about the cover-avoiding property of subgroups for... In recent years,a series of papers about cover-avoiding property of subgroups appeared and all the studies were connected with chief factors of a finite group.However,about the cover-avoiding property of subgroups for non-chief factor,there is no study up to now.The purpose of this paper is to build the theory.Let A be a subgroup of a finite group G and Σ:G0≤G1≤…≤Gn some subgroup series of G.Suppose that for each pair(K,H) such that K is a maximal subgroup of H and G i 1 K < H G i for some i,either A ∩ H = A ∩ K or AH = AK.Then we say that A is Σ-embedded in G.In this paper,we study the finite groups with given systems of Σ-embedded subgroups.The basic properties of Σ-embedded subgroups are established and some new characterizations of some classes of finite groups are given and some known results are generalized. 展开更多
关键词 finite group ∑-embedded subgroups ∑p-embedded subgroup soluble group supersoluble group p-nilpotent group saturated formation
原文传递
ON GLAUBERMAN'S CONJECTURE AND PODUFALOV'S PROBLEM
2
作者 肖文俊 《Science China Mathematics》 SCIE 1990年第10期1174-1181,共8页
The main purpose of this paper is to solve [partly the Glauberman conjecture and to give an affirmafive answer to the Podufalov problem.
关键词 GENERALIZED FITTING SUBGROUP NON-COMMUTATIVE simple group STRONGLY p-embedded subgroup.
原文传递
上一页 1 下一页 到第
使用帮助 返回顶部