| On θ-completions for Maximal Subgroups |
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| 作者姓名： | ZAN Li-bo |
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| 作者单位： | Department of Mathematics，Southeast University，Nanjing 210096，China |
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| 摘 要： | For a maximal subgroup M of a group G,a θ-completion for M is a subgroup C such that C is not contained in M while Ma,the core of M in G,is contained in C and C/M_G has no proper normal subgroup of G/M_G.This concept was introduced by ZHAO Yao-qing in 1998.In this paper we characterize the solvability of finite groups by means of θ-completions and obtain some new results.
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| 关 键 词： | θ-completion normal index solvability |
| 文章编号： | 1002-0462（2007）04-0581-05 |
| 收稿时间： | 2005-10-14 |
| 修稿时间： | 2005年10月14 |
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