| 关于有限群的超可解性 |
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| 引用本文： | 涂道兴.关于有限群的超可解性[J].西南石油大学学报（自然科学版）,1992,14(4):148-154. |
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| 作者姓名： | 涂道兴 |
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| 作者单位： | 基础学科部 |
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| 摘 要： | 本文证明了
定理1 设G为群,则W∞(G)=SI(G)
定理2 设G为群,N△G,若G/N超可解且N的素数阶元均属于W∞(G),则G超还解的充要条件是G与T2q无关。
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| 关 键 词： | 有限群 极大超可解子群 弱广义中心元 超弱广义中心 |
| 收稿时间： | 1991-08-29 |
ON SUPERSOLVABILITY OF SOME FINITE GROUPS |
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| Tu Dao-xing.ON SUPERSOLVABILITY OF SOME FINITE GROUPS[J].Journal of Southwest Petroleum University(Seience & Technology Edition),1992,14(4):148-154. |
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| Authors: | Tu Dao-xing |
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| Institution: | Department of Basic Courses |
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| Abstract: | In this paper we proved the following: 1)Theorem 2. Let G be a gronp, then w_∞(G)=SI(G). 2) Theorem 3. Let G be agroup and N be a normal subgroup of G. If G/N is super-solvable and all prime elements in N are containeb in w_∞(G), then G is supersolvable if and only if T_(2q) is not involved in G. |
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| Keywords: | Finite group Maximal supersolvable subgroup Weakgeneralized-dentral element Hyper-weak-generalized-center |
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