P2-阶子群X-ss-半置换的有限群

设G是有限群,X是G的一个非空子集,子群H称为在G中X-ss-半置换,若H在G中有补充子群T,对于T的任意Sylowp-子群P,只要(p,|H|)=1,就存在x∈X使得HP^x=P^xH。通过对p²-阶子群的X-ss-半置换性研究,得到了p-幂零群的新判断。     

灰群的性质

在文「２」的基础上继续研究灰子群的性质,得到若干重要结果。     

有一个极大子群全正规的有限2群

给出了有一个极大子群全正规的有限2群的结构.     

Finite groups with some given systems of Xm‐semipermutable subgroups

Let X be a nonempty subset of a group G. We call a subgroup A of G an X_m‐semipermutable subgroup of G if A has a minimal supplement T in G such that for every maximal subgroup M of any Hall subgroup T₁ of T there exists an element x ∈ X such that AM^x = M^xA. In this paper, we study the structure of finite groups with some given systems of X_m‐semipermutable subgroups (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

环上线性群的子群结构

本文主要讨论欧氏整环上线性群一类子群的结构,并获得其一类极大子群,