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Hyperplanes of DW(5,K) with K a perfect field of characteristic 2

Bart De Bruyn UGent (2009) JOURNAL OF ALGEBRAIC COMBINATORICS. 30(4). p.567-584
abstract
Let K be a perfect field of characteristic 2. In this paper, we classify all hyperplanes of the symplectic dual polar space DW(5, K) that arise from its Grassmann embedding. We show that the number of isomorphism classes of such hyperplanes is equal to 5 + N, where N is the number of equivalence classes of the following equivalence relation R on the set {lambda is an element of K|X(2) + lambda X + 1 is irreducible in K[X]}: (lambda(1), lambda(2)) is an element of R whenever there exists an automorphism sigma of K and an a is an element of K such that (lambda(sigma)(2))(-1) = lambda(-1)(1) + a(2) + a.
Please use this url to cite or link to this publication:
author
organization
alternative title
Hyperplanes of DW(5, K) with K a perfect field of characteristic 2
year
type
journalArticle (original)
publication status
published
subject
keyword
perfect field, symplectic dual polar space, hyperplane, DUAL POLAR SPACES, EMBEDDINGS, RANK-3, ARISE
journal title
JOURNAL OF ALGEBRAIC COMBINATORICS
J. Algebr. Comb.
volume
30
issue
4
pages
567 - 584
Web of Science type
Article
Web of Science id
000271502700010
JCR category
MATHEMATICS
JCR impact factor
1.137 (2009)
JCR rank
38/251 (2009)
JCR quartile
1 (2009)
ISSN
0925-9899
DOI
10.1007/s10801-009-0180-5
language
English
UGent publication?
yes
classification
A1
copyright statement
I have transferred the copyright for this publication to the publisher
id
879954
handle
http://hdl.handle.net/1854/LU-879954
date created
2010-02-24 16:58:22
date last changed
2014-01-28 19:18:23
@article{879954,
  abstract     = {Let K be a perfect field of characteristic 2. In this paper, we classify all hyperplanes of the symplectic dual polar space DW(5, K) that arise from its Grassmann embedding. We show that the number of isomorphism classes of such hyperplanes is equal to 5 + N, where N is the number of equivalence classes of the following equivalence relation R on the set \{lambda is an element of K|X(2) + lambda X + 1 is irreducible in K[X]\}: (lambda(1), lambda(2)) is an element of R whenever there exists an automorphism sigma of K and an a is an element of K such that (lambda(sigma)(2))(-1) = lambda(-1)(1) + a(2) + a.},
  author       = {De Bruyn, Bart},
  issn         = {0925-9899},
  journal      = {JOURNAL OF ALGEBRAIC COMBINATORICS},
  keyword      = {perfect field,symplectic dual polar space,hyperplane,DUAL POLAR SPACES,EMBEDDINGS,RANK-3,ARISE},
  language     = {eng},
  number       = {4},
  pages        = {567--584},
  title        = {Hyperplanes of DW(5,K) with K a perfect field of characteristic 2},
  url          = {http://dx.doi.org/10.1007/s10801-009-0180-5},
  volume       = {30},
  year         = {2009},
}

Chicago
De Bruyn, Bart. 2009. “Hyperplanes of DW(5,K) with K a Perfect Field of Characteristic 2.” Journal of Algebraic Combinatorics 30 (4): 567–584.
APA
De Bruyn, B. (2009). Hyperplanes of DW(5,K) with K a perfect field of characteristic 2. JOURNAL OF ALGEBRAIC COMBINATORICS, 30(4), 567–584.
Vancouver
1.
De Bruyn B. Hyperplanes of DW(5,K) with K a perfect field of characteristic 2. JOURNAL OF ALGEBRAIC COMBINATORICS. 2009;30(4):567–84.
MLA
De Bruyn, Bart. “Hyperplanes of DW(5,K) with K a Perfect Field of Characteristic 2.” JOURNAL OF ALGEBRAIC COMBINATORICS 30.4 (2009): 567–584. Print.