摘要: |
利用极大子群的S-θ-完备性质研究有限群的可解性,改进相关文献中的相关定理,得到有限群可解性的2个新判据. |
关键词: 有限群 超可解 极大子群 S-θ-完备 |
DOI: |
投稿时间:2007-09-21 |
基金项目:广西科学基金项目(0575050);广西研究生教育创新计划项目(2007106020701M51)资助 |
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S-θ-Completion of the Maximal Subgroups and the Solvability of Finite Groups |
SHAN Jun-hui, ZHONG Xiang-gui
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(Department of Mathematics, Guangxi Normal University, Guilin, Guangxi, 541004, China) |
Abstract: |
Using S-θ-completions for a maximal subgroup of a finite group, the solvability of finite groups are studied, and some relational theorems in the relevant reference are improved, and two new criteria of the solvable groups are obtained. |
Key words: finite groups super solvable maximal subgroups S-θ-completion |