Locally singular hyperplanes in thick dual polar spaces of rank 4

نویسندگان

  • Ilaria Cardinali
  • Bart De Bruyn
  • Antonio Pasini
چکیده

We study (i-)locally singular hyperplanes in a thick dual polar space of rank n. If is not of type DQ(2n,K), then we will show that every locally singular hyperplane of 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. © 2005 Elsevier Inc. All rights reserved.

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عنوان ژورنال:
  • J. Comb. Theory, Ser. A

دوره 113  شماره 

صفحات  -

تاریخ انتشار 2006