| 李士恒,施武杰.闭2-极大子群指数为素数幂的有限群[J].数学年刊A辑,2013,34(3):285~290 |
| 闭2-极大子群指数为素数幂的有限群 |
| Finite Groups Whose Every Non-2-Closed MaximalSubgroup is of Prime Power Index |
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| DOI： |
| 中文关键词: 有限群, 2-闭, 极大子群 |
| 英文关键词:Finite group, 2-closed, Maximal subgroup |
| 基金项目:国家自然科学基金 (No.11171364) |
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| 中文摘要: |
| 设G为有限群, 如果G的每个非2-闭极大子群的指数均为素数幂, 那么
G-S(G)≌PSL2(7)或1, 其中S(G)为G的最大可解正规子群. |
| 英文摘要: |
| Let $G$ be a finite group. If every non-2-closed maximal subgroup of $G$ is of prime power index, then
$G/S(G)\cong PSL_2(7)$ or 1, where $S(G)$ is the maximal soluble normal subgroup of $G$. |
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