极小非MSSP-群的分类

摘要

本文研究了一类有限极小非∑-群.利用群G的每个Sylow子群的极小子群的s-半置换性对G的结构影响,获得了一类新的极小非∑-群的分类,推广了极小非Σ-群部分研究成果.%In this paper,we investigate the structure of a kind of finite minimal non-Σ-groups.By analyzing the s-semipermutability of all minimal subgroups of the Sylow subgroups of a group G,we obtain a classification of a new kind of minimal non-Σ-groups,which generalizes some achievements of minimal non-Σ-groups.