Ron Shaw
Partial spreads in PG(4,2) and flats in PG(9,2) external to the Grassmannian G1,4,2
Shaw, Ron; Gordon, Neil A.; Maks, Johannes G.
Abstract
We consider the following 'even hyperplane construction'of flats in the projective space PG(9, 2) = P(boolean AND(2) V(5, 2)) which are external to the Grassmannian G(1,4,2) of lines of PG(4,2). Let the Grassmann image in G(1,4,2) of a partial spread S-r = {mu(1),..., mu(r)} in PG(4,2) be C-r = {m(1,)..., m(r)}. Then C-r is an r-cap on G(1.4.2). Using the recent classification [N.A. Gordon, R. Shaw, L.H. Soicher, Classification of Partial Spreads in PG(4,2), pp. 63, available from: http://www.hull.ac.uk/maths/people/rs/staffdetails. html] of partial spreads in PG(4,2), we determine those partial spreads S-r such that the projective space E(C-r) = < C-r>,en generated by the ((r)(2)) points m(ij) := m(i) + m(j) is an external flat. We show 2 that, in this simple manner, we may construct seven out of the ten GL(5,2)-orbits of external flats. (c) 2005 Elsevier B.V. All rights reserved.
Citation
Shaw, R., Gordon, N. A., & Maks, J. G. (2005). Partial spreads in PG(4,2) and flats in PG(9,2) external to the Grassmannian G1,4,2. Discrete Mathematics, 301(1), 137-146. https://doi.org/10.1016/j.disc.2004.11.023
Journal Article Type | Article |
---|---|
Acceptance Date | Nov 8, 2004 |
Online Publication Date | Aug 18, 2005 |
Publication Date | 2005-09 |
Journal | DISCRETE MATHEMATICS |
Print ISSN | 0012-365X |
Publisher | Elsevier |
Peer Reviewed | Peer Reviewed |
Volume | 301 |
Issue | 1 |
Pages | 137-146 |
DOI | https://doi.org/10.1016/j.disc.2004.11.023 |
Keywords | Theoretical Computer Science; Discrete Mathematics and Combinatorics |
Public URL | https://hull-repository.worktribe.com/output/391619 |
You might also like
A Portable Multi-user Cross-Platform Virtual Reality Platform for School Teaching in Malawi
(2023)
Journal Article
Why the Educational Metaverse Is Not All About Virtual Reality Apps
(2023)
Journal Article
Motivating Students to Learn How to Write Code Using a Gamified Programming Tutor
(2023)
Journal Article
Downloadable Citations
About Repository@Hull
Administrator e-mail: repository@hull.ac.uk
This application uses the following open-source libraries:
SheetJS Community Edition
Apache License Version 2.0 (http://www.apache.org/licenses/)
PDF.js
Apache License Version 2.0 (http://www.apache.org/licenses/)
Font Awesome
SIL OFL 1.1 (http://scripts.sil.org/OFL)
MIT License (http://opensource.org/licenses/mit-license.html)
CC BY 3.0 ( http://creativecommons.org/licenses/by/3.0/)
Powered by Worktribe © 2024
Advanced Search