题目:Equivalency of the conjugateness for the X-maximal and X-submaximal subgroups
报告人:Danila Revin 教授(俄罗斯科学院,Sobolev数学研究所)
时间:5月11日(周五)下午4:20--5:00
地点:管理科研楼数学学院1518教室
摘要: Let X be a class of finite groups closed under taking the subgroups, the homomorphic images and the extensions. Denote by D(X) the class of finite groups G such that every two X-maximal subgroups are conjugate in G. In his lectures in 1963, H.Wielandt ask: Are conjugate every two so called X-submaximal subgroups of G if G belongs to D(X)? Equivalently, is D(X) closed under taking the extensions? In the talk, we discuss a solution in the affirmative of this problem and some consequences.
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