Acta mathematica scientia,Series B

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COMPLETENESS OF THE PARABOLIC SUBGROUPS OF PROJECTIVE#br# ORTHOGONAL GROUPS

Wang Dengyin   

  1. Department of Mathematics, China University of Mining and Technology, Xuzhou 221008, China
  • Received:2004-12-30 Revised:1900-01-01 Online:2007-04-20 Published:2007-04-20
  • Contact: Wang Dengyin

Abstract:

All parabolic subgroups and Borel subgroups of $P\Omega(2m+1,F)$ over a linearable field F of characteristic 0 are shown to be complete groups, provided m>3.

Key words: Linear groups, orthogonal groups, complete groups

CLC Number: 

  • 20E
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