Two Important Classes of p-groups and the Orders of Their Automorphism Groups 被引量：2

Two Important Classes of p-groups and the Orders of Their Automorphism Groups

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摘要 In the paper we obtain two infinite classes of p-groups, calculate the orders of their automorphism groups and correct a mistake（perhaps misprinted） of Rodney James＇ paper in 1980.

作者 BAN Gui-ning ZHANG Xin-zheng

机构地区 College of Mathematics and Information Science College of Automation

出处《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2008年第4期491-493,共3页 数学季刊（英文版）

基金 Supported by NNSF of China(60574052) Supported by NSF(05001820) Supported by PST of Guangdong(2005B33301008)

关键词 finite group P-GROUP AUTOMORPHISM order CLASSIFICATION p-群自同构群阶矩阵论

分类号 O151.21 [理学—基础数学]

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参考文献3

1JAMES R. The groups of order p^6(p an odd prime)[J]. Math Comp, 1980, 34(150): 613-637.
2HALL M, SENIOR J. The Groups of Order 2n(n ≤ 6)[M]. New York: Macmillan, 1964, MR 28 #5889. See also review in this journal, Math Comp, 1965, 19: 335-337.
3XU Ming-yao. Introduction to Finite Group Theory[M]. Beijing: Science Publishing House, 1999.

同被引文献36

1班桂宁,吴建平,张玉,张中健.一类特殊有限p-群的自同构群的阶[J].云南大学学报（自然科学版）,2008,30(S1):215-219. 被引量：11
2俞曙霞,班桂宁.若干LA-群及有关定理[J].广西大学学报（自然科学版）,1993,18(1):6-13. 被引量：11
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4俞曙霞,班桂宁.关于LA群的一个定理[J].广西大学学报（自然科学版）,1994,19(1):10-17. 被引量：13
5Exarchakos T.LA-groups[J].J Math Soc Japan,1981,33(2):185-190.
6Ban Guining,Chen Liying,Zhou Yu.A new series of LA-groups[J].J Guangxi Teachers Education University,2007,24(4):5-7.
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8James R.The groups of order p6(p an odd prime)[J].Math Comput,1980,150(34):613-637.
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10Davitt R M.On the automorphism group of a finite p-group with a small central quotient[J].Can J Math,1980,32(5):1168-1176.

引证文献2

1班桂宁,佘科,刘惠,李芳芳.有限p-群两个重要的类[J].广西科学,2010,17(4):277-281. 被引量：3
2班桂宁,朱彩凤,张艳,惠敏.一类满足LA(2)-猜想的特殊p-群[J].江西师范大学学报（自然科学版）,2011,35(2):121-126. 被引量：2

二级引证文献5

1班桂宁,张艳,朱彩凤,惠敏.基于p^6阶群的一个重要的类[J].四川理工学院学报（自然科学版）,2011,24(4):383-388.
2班桂宁,张艳,朱彩凤,惠敏.基于第十七家族群的LA-群的新系列[J].贵州大学学报（自然科学版）,2012,29(1):9-16.
3班桂宁,陈倩.p^6阶群Φ_(22)(1~6)的推广及研究[J].南华大学学报（自然科学版）,2015,29(2):77-80.
4陈松良,黎先华.有交换Sylow q-子群的p^3q^3阶群的分类[J].江西师范大学学报（自然科学版）,2017,41(4):368-373. 被引量：1
5班桂宁,陈倩,赵丽萍,许永峰.基于p^6阶第三十五家族群的一类新LA-群[J].玉溪师范学院学报,2014,30(8):7-12.

1苏翃,赵振华,肖志祥,邱敦元.Orders of Automorphism Groups of Some p-Groups[J].Journal of Southwest Jiaotong University(English Edition),2008,16(2):199-204.
2蓝永红,惠敏,班桂宁,邵明文.The Orders of the Automorphism Groups of all Groups of Order p^5[J].Chinese Quarterly Journal of Mathematics,2012,27(4):495-503. 被引量：1
3Yu Zeng,Jinbao Li,Guiyun Chen.Finite Groups with Automorphism Groups Having Orders 4pq2 （2 〈 p 〈 q） II[J].Algebra Colloquium,2017,24(1):153-168.
4张新政,王勇,班桂宁.The Orders of Automorphism Group of p^6 Rank Groups[J].Chinese Quarterly Journal of Mathematics,2003,18(4):369-377. 被引量：5
5李世荣.Automorphism Groups of Some Finite Groups[J].Science China Mathematics,1994,37(3):295-303. 被引量：9
6钱国华.On automorphism groups of some finite groups[J].Science China Mathematics,2003,46(4):450-458. 被引量：3
7赵耀庆,韦革,李世余.C_p-Groups and Some Results on the p-nilpotency[J].Chinese Quarterly Journal of Mathematics,1996,11(3):44-49.
8EPULIC Vladimir.On finite 2-groups all of whose subgroups are mutually isomorphic[J].Science China Mathematics,2009,52(2):254-260.
9Heguo Liu,Yulei Wang.Automorphism Groups of Some Finite p-Groups[J].Algebra Colloquium,2016,23(4):623-650. 被引量：1
10Qin-hai ZHANG,Cui-juan SUN,Hai-peng QU,Ming-yao XU.Finite 2-generator equilibrated p-groups[J].Science China Mathematics,2007,50(6):814-820.

Chinese Quarterly Journal of Mathematics

2008年第4期

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Two Important Classes of p-groups and the Orders of Their Automorphism Groups 被引量：2

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