An Arrangement in Orthogonal Geometry over Finite Field of Char=2

Authors
Dongsheng, Chen Zhexian, Wan
Citation
Dongsheng, Chen et Zhexian, Wan, An Arrangement in Orthogonal Geometry over Finite Field of Char=2, Acta Mathematica Sinica, New Series Chinese Journal of Mathematics, 9(1), 1993, pp. 39-47
Journal title
Acta Mathematica Sinica, New Series Chinese Journal of Mathematics → ACNP
ISSN journal
10009574
Volume
9
Issue
1
Year of publication
1993
Pages
39 - 47
Database
ACNP
SICI code
Abstract
Let Va(F) be the orthogonal geometry of dimension n over Fq, where q is a power of 2 and q> 2. Let A be the arrangement in V. (Fq) consisting of all (n-1)-dimensional non- singular subspaces of V.(Fq) and let L(A) be the geometric lattice consisting of all intersections of elements of A. In this paper we give a characterization of the elements of L(A) and compute the characteristic polynomial of L(A).