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n-Lie代数的Frattini子代数及非嵌入定理
引用本文:白瑞蒲,周和月,刘学文.n-Lie代数的Frattini子代数及非嵌入定理[J].东北数学,2006,22(4):425-432.
作者姓名:白瑞蒲  周和月  刘学文
作者单位:Department of Mathematics Hebei Universuty,Baoding,071002,Department of Mathematics,Baoding Teachers College,Baoding,071000,Department of Mathematics,Hebei Universuty,Baoding,071002
基金项目:The NSF(2005000088)of Hebei Province,the NSF(y2004034)of Hebei University.
摘    要:In this paper,we prove the nonimbedding theorem in nilpotent n-Liealgebras which is an analogue to the nonimbedding theorem of Burnsids in groupsof prime power order.We also study the properties of Frattini subalgebras of n-Liealgebras over the field with characteristic zero,and prove that the Frattini subalgebraof any k-solvable(k≥2)n-Lie algebra is zero.

关 键 词:n-李代数  非嵌入定理  Frattini子代数  素幂阶

Frattini Subalgebras and Nonimbedding Theorem of n-Lie Algebras
BAI Rui-pu,ZHOU He-yue,LIU Xue-wen.Frattini Subalgebras and Nonimbedding Theorem of n-Lie Algebras[J].Northeastern Mathematical Journal,2006,22(4):425-432.
Authors:BAI Rui-pu  ZHOU He-yue  LIU Xue-wen
Institution:[1]Department of Mathematics, Hebei Universuty, Baoding, 071002 [2]Department of Mathematics, Baoding Teachers College, Baoding, 071000
Abstract:
Keywords:n-Lie algebra  Frattini subalgebra  lower central series
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