p元域上二阶矩阵的拟相似类

Quasi-similarity classes of 2-order matrices over a finite field containing p elements

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摘要设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. Let p is a prime number and F_(p) represents a finite field containing p elements.The concept of quasi-similarity is proposed,the quasi-similarity classes of 2-order matrices on F_(p) are given.

作者董磊 DONG Lei(Department of Basic Teaching,Shanxi Institute of Applied Science and Technology,Taiyuan 030032,China)

机构地区山西应用科技学院基础教学部

出处《高师理科学刊》 2021年第12期7-9,13,共4页 Journal of Science of Teachers＇College and University

关键词内交换p-群 A_(t)-群相似关系拟相似关系 interabelian p-group A_(t)-group similarity relation quasi-similarity relation

分类号 O152.1 [理学—基础数学]

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参考文献2

1AN LiJian,LI LiLi,QU HaiPeng,ZHANG QinHai.Finite p-groups with a minimal non-abelian subgroup of index p(Ⅱ)[J].Science China Mathematics,2014,57(4):737-753. 被引量：10
2QU HaiPeng,XU MingYao,AN LiJian.Finite p-groups with a minimal non-abelian subgroup of index p(Ⅲ)[J].Science China Mathematics,2015,58(4):763-780. 被引量：7

二级参考文献22

1An L J, Hu R F, Zhang Q H. Finite p-groups with a minimal non-abelian subgroup of index p (Ⅳ). ArXiv:1310.5503.
2Berkovich Y. Groups of Prime Power Order I. Berlin-New York: Walter de Gruyter, 2008.
3Fang X G, An L J. A classification of finite metahamiltonian p-groups. ArXiv:1310.5509.
4Hall M, Senior J K. The Groups of Order 2n (n≤ 6). New York: MacMillan, 1964.
5Huppert B. Endliche Gruppen I. Berlin: Springer-Verlag, 1967.
6Qu H P, Xu M Y, An L J. Finite p-groups with a minimal non-abelian subgroup of index p (Ⅲ). ArXiv:1310.5496.
7Qu H P, Yang S S, Xu M Y, et al. Finite p-groups with a minimal non-abelian subgroup of index p (Ⅰ). J Algebra,2012, 358: 178-188.
8Qu H P, Zhao L B, Gao J, et al. Finite p-groups with a minimal non-abelian subgroup of index p (V). J Algebra Appl, submitted.
9Tuan H F. A theorem about p-groups with abelian subgroup of index p. Acad Sinica Science Record, 1950, 3: 17-23.
10Xu M Y. An Introduction to Finite Groups (in Chinese). Beijing: Science Press, 1987.

共引文献9

1Qinhai ZHANG Xiaoxiao LI Meijuan SU.Finite p-groups whose nonnormal subgroups have orders at most p^3[J].Frontiers of Mathematics in China,2014,9(5):1169-1194. 被引量：4
2Lihua ZHANG,Yanming XIA,Qinhai ZHANG.Finite p-Groups all of Whose Maximal Subgroups Either are Metacyclic or Have a Derived Subgroup of Order ≤ p[J].Chinese Annals of Mathematics,Series B,2015,36(1):11-30. 被引量：1
3Lijian AN,Le YANG.The Central Extension of an Elementary Abelian p-Group by a Miniaml Non-Abelian p-Group[J].Journal of Mathematical Research with Applications,2016,36(4):457-466.
4Lijian AN.Finite p-groups whose non-normal subgroups have few orders[J].Frontiers of Mathematics in China,2018,13(4):763-777. 被引量：2
5Qin Hai ZHANG.Finite p-groups All of Whose Minimal Nonabelian Subgroups are Nonmetacyclic of Order p^3[J].Acta Mathematica Sinica,English Series,2019,35(7):1179-1189. 被引量：1
6Qiangwei Song,Haipeng Qu.Finite p-groups whose nonnormal subgroups are metacyclic[J].Science China Mathematics,2020,63(7):1271-1284. 被引量：2
7Xingui Fang,Lijian An.A Classification of Finite Metahamiltonian p-Groups[J].Communications in Mathematics and Statistics,2021,9(2):239-260.
8Qinhai Zhang,Libo Zhao,Miaomiao Li,Yiqun Shen.Finite p-Groups all of Whose Subgroups of Index p^(3) are Abelian[J].Communications in Mathematics and Statistics,2015,3(1):69-162. 被引量：10
9白鹏飞,郭秀云,王俊新.具有几乎链条件的有限p-群[J].中国科学：数学,2024,54(2):139-160.

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高师理科学刊

2021年第12期

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p元域上二阶矩阵的拟相似类

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