| 周期FC-群的_πFrat(G)子群 |
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| 引用本文： | 王英.周期FC-群的_πFrat(G)子群[J].四川理工学院学报(自然科学版),2009,22(4):50-51. |
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| 作者姓名： | 王英 |
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| 作者单位： | 四川理工学院理学院,四川,自贡,643000 |
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| 基金项目： | 四川理工学院人才引进科研启动项目 |
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| 摘 要： | 对任意群G,G的Frat(G)子群Frat(G)是指G的所有极大子群的交,文章研究另一类特征子群即周期FC-群的_πFrat(G)子群,并得到与有限群的_πFrat(G)子群相类似的性质。
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| 关 键 词： | 局部系 _πFrat(G)子群 π-非生成元 |
πFrat(G) Subgroup of Periodic FC-group |
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| WANG Ying.πFrat(G) Subgroup of Periodic FC-group[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,2009,22(4):50-51. |
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| Authors: | WANG Ying |
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| Institution: | School of Science;Sichuan University of Science & Engineering;Zigong 643000;China |
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| Abstract: | For any group G,the Frattini subgroup Frat(G) is defined as the intersection of the maximal subgroups of G. The characteristic subgroup _πFrat(G) of periodic FC-group G is investigated in the paper.The properties of _πFrat(G) of periodic FC-group G are studied and some results analogous to those of _πFrat(G) of finite group are established. |
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| Keywords: | local system (?)Frat(G) subgroup π- nongenerators |
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