|
|
|
题名
|
作者
|
年代
|
出处
|
被引量
|
| 1 | Finite p-Groups all of Whose Subgroups of Index p^(3) are Abelian显示文摘Suppose that G is a finite p-group.If all subgroups of index p^(t)of G are abelian and at least one subgroup of index p^(t−1)of G is not abelian,then G is called an A_(t)-group.We useA0-group to denote an abelian group.From the definition,we know every finite non-abelian p-group can be regarded as an A_(t)-group for some positive integer t.A_(1)-groups and A_(2)-groups have been classified.Classifying A_(3)-groups is an old problem.In this paper,some general properties about A_(t)-groups are given.A_(3)-groups are completely classified up to isomorphism.Moreover,we determine the Frattini subgroup,the derived subgroup and the center of every A_(3)-group,and give the number of A_(1)-subgroups and the triple(μ_(0),μ_(1),μ_(2))of every A_(3)-group,whereμi denotes the number of A_(i)-subgroups of index p of A_(3)-groups. | Qinhai Zhang Libo Zhao Miaomiao Li Yiqun Shen | 2015 | Communications in Mathematics and Statistics2015，3，1： | 9 |
| 2 | Finite p-groups whose nonnormal subgroups have orders at most p^3显示文摘 | Qinhai ZHANG Xiaoxiao LI Meijuan SU | 2014 | Frontiers of Mathematics in China2014，9，5： | 4 |
| 3 | Finite p-groups whose nonnormal subgroups are metacyclic显示文摘For an odd prime p,we give a criterion for finite p-groups whose nonnormal subgroups are metacyclic,and based on the criterion,the p-groups whose nonnormal subgroups are metacyclic are classified up to isomorphism.This solves a problem proposed by Berkovich. | Qiangwei Song Haipeng Qu | 2020 | Science China Mathematics2020，63，7： | 2 |
| 4 | Finite p-groups whose non-normal subgroups have few orders显示文摘假定 G 是有限 p 组。如果 G 不是一个 Dedekind 集团,那么, G 有非正常的亚群。我们使用 p M (G) 和 p 表示 G 的非正常的亚群的订单的最大值和最小的 m (G) ;分别地。在这份报纸,我们分类集团 G 以便 M (G)< 2m (G) 1:作为一个副产品,我们也分类其非正常的亚群的订单是 p k 和 p k+1 。 | Lijian AN | 2018 | Frontiers of Mathematics in China2018，13，4： | 2 |
| 5 | Finite p-Groups all of Whose Maximal Subgroups Either are Metacyclic or Have a Derived Subgroup of Order ≤ p显示文摘The groups as mentioned in the title are classified up to isomorphism. This is an answer to a question proposed by Berkovich and Janko. | Lihua ZHANG Yanming XIA Qinhai ZHANG | 2015 | Chinese Annals of Mathematics,Series B2015，36，1： | 1 |
| 6 | A Classification of Finite Metahamiltonian p-Groups显示文摘A finite non-abelian group G is called metahamiltonian if every subgroup of G is either abelian or normal in G.If G is non-nilpotent,then the structure of G has been determined.If G is nilpotent,then the structure of G is determined by the structure of its Sylow subgroups.However,the classification of finite metahamiltonian p-groups is an unsolved problem.In this paper,finite metahamiltonian p-groups are completely classified up to isomorphism. | Xingui Fang Lijian An | 2021 | Communications in Mathematics and Statistics2021，9，2： | 0 |
| 7 | The Central Extension of an Elementary Abelian p-Group by a Miniaml Non-Abelian p-Group显示文摘Assume that N, F and G are groups. If there exsits a normal subgroup of G such that≌ G and G/≌ F, then G is called a central extension of N by F. In this paper, the central extension of N by a minimal non-abelian p-group is determined, where N is an elementary abelian p-group of order p^3. Together with our previous work, all central extensions of N by a minimal non-abelian p-group is determined, where N is an elementary abelian p-group. | Lijian AN Le YANG | 2016 | Journal of Mathematical Research with Applications2016，36，4： | 0 |
| 8 | p元域上二阶矩阵的拟相似类显示文摘设p是素数,F_(p)表示p个元素的有限域,提出了拟相似的概念,给出F_(p)上二阶矩阵的拟相似类. | 董磊 | 2021 | 高师理科学刊2021，41，12： | 0 |
| 9 | Finite p-groups All of Whose Minimal Nonabelian Subgroups are Nonmetacyclic of Order p^3显示文摘Assume p is an odd prime. We investigate finite p-groups all of whose minimal nonabelian subgroups are of order p^3. Let P1-groups denote the p-groups all of whose minimal nonabelian subgroups are nonme tacyclic of order p^3. In this paper, the P1-groups are classified, and as a by-product, we prove the Hughes' conjecture is true for the P1-groups. | Qin Hai ZHANG | 2019 | Acta Mathematica Sinica,English Series2019，35，7： | 0 |
您所在的机构暂未开通此部分的功能，请联系管理员