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AN ANZAHL THEOREM IN SINGULAR PSEUDO-SYMPLECTIC GEOMETRY OVER FINITE FIELDS
作者姓名:王恺顺  魏鸿增  张更生
作者单位:Wang Kaishun (Department of Mathematics,Beijing Normal University. Beijing 100875. China) Wei Hongzeng,Zhang Gengsheng (Department of Mathematics. Hebei Normal University. Shijiazhuang 050016. China)
基金项目:NSFC (10171006) and Youngth Scientific Foundation of Beijing Normal University (105107197)
摘    要:1 IntroductionLet F, be a fiuite field witl1 q elelllents. wl1ere q is a power of 2. We will follow tlie notationsand terntillologies in 11. LetThe singular pseudthsymplectic group with respect to Se,I over Fq denoted by PS=.+.+..=.+, (F,)is defiued to be tlie group fOrnled by all (2P + 6 + l) x (2v + b + l) nonsingUlar n1atrices T suchthat TSb.,T' == Sb,i. wl1ere TT denotes the transpose of T. If T 6 Ps=.+,+,.=.+, (Fq), then T isof the forlllwhere T1,S,T1,' = Se and T22 is nousin…

收稿时间:22 October 1999

AN ANZAHL THEOREM IN SINGULAR PSEUDO-SYMPLECTIC GEOMETRY OVER FINITE FIELDS
Wang Kaishun.AN ANZAHL THEOREM IN SINGULAR PSEUDO-SYMPLECTIC GEOMETRY OVER FINITE FIELDS[J].Acta Mathematica Scientia,2002,22(1):72-78.
Authors:Wang Kaishun
Institution:Department of Mathematics, Beijing Normal University, Beijing 100875, China;Department of Mathematics, Hebei Normal University, Shijiazhuang 050016, China
Abstract:This paper obtains formulas for the number of subspaces of a given type contained in a given subspace in singular pseudo-symplectic geometry.
Keywords:Finite field  subspace  singular pseudo-symplectic geometry
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