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Construction of complete generalized algebraic groups

Construction of complete generalized algebraic groups
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摘要 With one exception, the holomorph of a finite dimensional abelian connectedalgebraic group is shown to be a complete generalized algebraic group. This result on algebraic group is an analogy to that on Lie algebra. With one exception, the holomorph of a finite dimensional abelian connected algebraic group is shown to be a complete generalized algebraic group. This result on algebraic group is an analogy to that on Lie algebra.
作者 WANG Dengyin
出处 《Science China Mathematics》 SCIE 2005年第6期808-818,共11页 中国科学:数学(英文版)
基金 This work was supported by the National Natural Science Foundation of China(Grant No.10071078).
关键词 complete algebraic groups maximal torus maximal unipotent subgroups. complete algebraic groups, maximnal torus, maximal unipotent subgroups.
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参考文献3

  • 1Dark,R. S.A complete group of odd order, Math[].Proceedings of Cambridge Philosophical Society.1975
  • 2Robinson,D. J. S.Recent results on finite complete groups[].Lecture Notes in Mathematics.1980
  • 3Meng,D. J.Some results on complete Lie algebras[].Communications in Algebra.1994

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