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Finite p-Groups in Which the Number of Subgroups of Possible Order Is Less Than or Equal to p^3 被引量:8

Finite p-Groups in Which the Number of Subgroups of Possible Order Is Less Than or Equal to p^3
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摘要 In this paper, groups of order p^n in which the number of subgroups of possible order is less than or equal to p3 ale classified. It turns out that if p 〉 2, n≥ 5, then the classification of groups of order p^n in which the number of subgroups of possible order is less than or equal to p3 and the classification of groups of order p^n with a cyclic subgroup of index p2 are the same.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2010年第4期497-506,共10页 数学年刊(B辑英文版)
基金 supported by the National Natural Science Foundation of China(No.10671114) the ShanxiProvincial Natural Science Foundation of China(No.2008012001) the Returned Abroad-StudentFund of Shanxi Province(No.[2007]13-56)
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参考文献1

  • 1ZHANG QinHai & QU HaiPeng School of Mathematics and Computer Sciences, Shanxi Normal University, Linfen 041004, China.On Hua-Tuan's conjecture[J].Science China Mathematics,2009,52(2):389-393. 被引量:6

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共引文献5

同被引文献19

  • 1ZHANG Qinhai SONG Qiangwei XU Mingyao.A classification of some regular p-groups and its applications[J].Science China Mathematics,2006,49(3):366-386. 被引量:11
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  • 4Xu M Y.The Introduction to Finite Groups I. . 2007
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