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ON F-z-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS 被引量：5

ON F-z-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS
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摘要 A subgroup H of a group G is called F-z-supplemented in G if there exists a subgroup K of G, such that G = HK and H∩K≤ Z∞F（G）, where Z∞F（G） is the F-hypercenter of G. We obtain some results about the F-z-supplemented subgroups and use them to determine the structure of some groups. A subgroup H of a group G is called F-z-supplemented in G if there exists a subgroup K of G, such that G = HK and H∩K≤ Z∞F（G）, where Z∞F（G） is the F-hypercenter of G. We obtain some results about the F-z-supplemented subgroups and use them to determine the structure of some groups.
作者 郭文彬 唐娜 李保军
机构地区 Department of Mathematics Department of Mathematics Department of Mathematics School of Mathematics
出处 《Acta Mathematica Scientia》 SCIE CSCD 2011年第1期22-28,共7页 数学物理学报（B辑英文版）
基金 supported by NNSF Grant of China(11071229)
关键词 Finite groups local formations F-z-supplemented subgroups supersoluble groups p-nilpotent groups Finite groups local formations F-z-supplemented subgroups supersoluble groups p-nilpotent groups
分类号 O152.1 [理学—基础数学] U674.192 [交通运输工程—船舶及航道工程]
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参考文献15

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同被引文献15

  • 1GUO WenBin,XIE FengYan,LI BaoJun.Some open questions in the theory of generalized permutable subgroups[J].Science China Mathematics,2009,52(10):2132-2144. 被引量：11
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  • 10朱路进,成晓燕.F_n可补子群与群的p超可解性[J].徐州师范大学学报（自然科学版）,2010,28(4):8-10. 被引量：2

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Acta Mathematica Scientia
2011年 第1期

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