Ron Shaw
The classification of flats in PG (9, 2) which are external to the grassmannian script G sign1,4,2
Shaw, Ron; Maks, Johannes G.; Gordon, Neil A.
Abstract
Constructions are given of different kinds of flats in the projective space$$PG(9,2)={\mathbb P}(\wedge^{2}V(5,2))$$which are external to the Grassmannian$${\cal G}_{\bf 1,4,2}$$of lines ofPG(4,2). In particular it is shown that there exist precisely twoGL(5,2)-orbits of external 4-flats, each with stabilizer group ≅31:5. (No 5-flat is external.) For eachk=1,2,3, two distinct kinds of externalk-flats are simply constructed out of certain partial spreads inPG(4,2) of sizek+2. A third kind of external plane, with stabilizer ≅23:(7:3), is also shown to exist. With the aid of a certain `key counting lemma', it is proved that the foregoing amounts to a complete classification of external flats.
Citation
Shaw, R., Maks, J. G., & Gordon, N. A. (2005). The classification of flats in PG (9, 2) which are external to the grassmannian script G sign1,4,2. Designs, codes, and cryptography, 34(2-3), 203-227. https://doi.org/10.1007/s10623-004-4855-6
Journal Article Type | Article |
---|---|
Acceptance Date | Nov 17, 2003 |
Publication Date | 2005-02 |
Journal | Designs, Codes, and Cryptography |
Print ISSN | 0925-1022 |
Electronic ISSN | 1573-7586 |
Publisher | Springer Verlag |
Peer Reviewed | Peer Reviewed |
Volume | 34 |
Issue | 2-3 |
Pages | 203-227 |
DOI | https://doi.org/10.1007/s10623-004-4855-6 |
Keywords | Applied Mathematics; Computer Science Applications |
Public URL | https://hull-repository.worktribe.com/output/405454 |
Publisher URL | https://link.springer.com/article/10.1007%2Fs10623-004-4855-6 |
You might also like
A permanent Pivot to online learning, or will universities bounce back to normal?
(2021)
Journal Article
Dependability Analysis Using Temporal Fault Trees and Monte Carlo Simulation
(2021)
Book Chapter
Refining the Teaching of Programming
(2020)
Conference Proceeding
Identifying Gaps in Cybersecurity Teaching and Learning
(2020)
Conference Proceeding