On Two Classes of Finite Inseparable p-Groups 被引量：2

On Two Classes of Finite Inseparable p-Groups

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摘要 A finite group is inseparable, it does not split over any proper nontrivial normal subgroup; that is, if it has no nontrivial semidirect product decompositions. This paper investigates two classes of finite inseparable p-groups and, for p ≥ 3, establishes a necessary and sufficient condition for insep- arability. A finite group is inseparable, it does not split over any proper nontrivial normal subgroup; that is, if it has no nontrivial semidirect product decompositions. This paper investigates two classes of finite inseparable p-groups and, for p ≥ 3, establishes a necessary and sufficient condition for insep- arability.

作者 Joseph KIRTL

机构地区 Department of Mathematics

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2015年第7期1203-1214,共12页 数学学报（英文版）

关键词 P-GROUP inseparable SPLITTING p-group, inseparable, splitting

分类号 O152.1 [理学—基础数学] O153.1 [理学—基础数学]

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参考文献13

1Bechtell, H.: Elementary groups. Trans. Amer. Math. Soc., 114, 355-362 (1965).
2Bechtell, H.: Theory of Groups, Addison-Wesley, Reading, MA, 1971.
3Bechtell, H.: Inseparable finite solvable groups. Trans. Amer. Math. Soc., 216, 47-60 (1976).
4Bechtell, H.: Inseparable finite solvable groups, II. Proc. Amer. Math. Soc., 64, 25-29 (1977).
5Bechtell, H.: Splitting systems for finite solvable groups. Arch. Math., 36, 295-301 (1981).
6Bechtell, H.: On nonnilpotent inseparable groups of order pnqm. J. Algebra, 75, 223-232 (1982).
7Huppert, B.: Endliche Gruppen I, Springer-Verlag, Berlin, 1983.
8Kirtland, J.: Direct products of inseparable finite groups. Arch. Math., 62, 289-291 (1994).
9Kirtland, J.: Finite solvable multiprimitive groups. Comm. Algebra, 23, 335-356 (1995).
10Kirtland, J.: Direct products of inseparable finite groups, II. Comm. Algebra, 25, 243-246 (1997).

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4WEI ChangGuo.Classification of extensions of torus algebra II[J].Science China Mathematics,2012,55(1):179-186. 被引量：3
5赵嗣元.域F_p上四维结合代数的同构分类[J].上海师范大学学报（自然科学版）,2001,30(4):28-33. 被引量：1

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2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.
3EPULIC Vladimir.On finite 2-groups all of whose subgroups are mutually isomorphic[J].Science China Mathematics,2009,52(2):254-260.
4Qin-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.
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7宝升.图中的圈不可分离性(英文)[J].黑龙江大学自然科学学报,2013,30(6):701-704.
8南基洙,田子德.The K_2-groups over Finaite Commutative Rings[J].Northeastern Mathematical Journal,2002,18(2):99-102.
9ZHANG Lunchuan and MA JipuDepartment of Mathematics , Beijing Normal University , Beijing 100875, China ,Department of Mathematics , Nanjing University, Nanjing 210093, China.Proof of inseparable prime C~*-algebras A with RR(A)=0 being primitive C~*-algebras[J].Chinese Science Bulletin,1999,44(8):688-690. 被引量：1
10WEI Kai-Yi WU Xiao-Hua.Inseparable Criterion and Bell Inequality[J].Communications in Theoretical Physics,2005,44(3X):451-454.

Acta Mathematica Sinica,English Series

2015年第7期

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On Two Classes of Finite Inseparable p-Groups 被引量：2

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