Locally singular hyperplanes in thick dual polar spaces of rank 4

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:113

Article

Cardinali, I. ; De Bruyn, B. ; Pasini, A.

关键词: dual polar space;    hyperplane;    split Cayley hexagon;   

DOI  :  10.1016/j.jcta.2005.05.007

来源: Elsevier

【 摘 要 】

We study (i-)locally singular hyperplanes in a thick dual polar space Delta of rank n. If Delta is not of type DQ(2n, K), then we will show that every locally singular hyperplane of Delta is singular. We will describe a new type of hyperplane in DQ (8, K) and show that every locally singular hyperplane of DQ(8, K) is either singular, the extension of a hexagonal hyperplane in a hex or of the new type. (c) 2005 Elsevier Inc. All rights reserved.

【 授权许可】

Free