Twisted tensor product group embeddings and complete partial ovoids on quadrics in \(\text{PG}(2^{t}-1,q)\).
type: Item
instance of: scholarly article
title: Twisted tensor product group embeddings and complete partial ovoids on quadrics in \(\text{PG}(2^{t}-1,q)\).
zbMATH Open document ID: 1040.51011
author: Oliver King
author: Antonio Cossidente
published in: Journal of Algebra
publication date: 2004-03-14T00:00:00Z
review text: The authors construct families of complete partial ovoids within hyperbolic quadrics of PG\((2^t-1,q)\) all of which attaining the Blokhuis-Moorehouse bound. For the construction the geometry of the groups SL\((2,q^t)\) and Sp\((2m,q^t)\) in their twisted tensor product representation plays a crucial role.
Mathematics Subject Classification ID: 51E20
zbMATH DE Number: 2055697
zbMATH Keywords: twisted tensor product representation
zbMATH Keywords: complete partial ovoid
zbMATH Keywords: hyperbolic quadrics
MaRDI profile type: Publication
full work available at URL: j.jalgebra.2003.09.002
OpenAlex ID: W1965366511
cites work: On the maximal subgroups of the finite classical groups
cites work: Some \(p\)-ranks related to orthogonal spaces
cites work: Q4664539
cites work: Embeddings of finite classical groups over field extensions and their geometry
cites work: Caps on elliptic quadrics
cites work: Partitions and their stabilizers for line complexes and quadrics
cites work: Alternating groups as maximal subgroups of the special orthogonal groups over the field of two elements
cites work: Some families of complete caps of quadrics and symplectic polarities over \(\text{GF}(8)\)
cites work: Q3694152
cites work: Q4003762
cites work: Spreads, Translation Planes and Kerdock Sets. I
cites work: Ovoids and Translation Planes
cites work: Strongly regular graphs defined by spreads
cites work: The 2-transitive ovoids
cites work: Q3996618
cites work: Representations and maximal subgroups of finite groups of Lie type
cites work: Representations of Algebraic Groups
cites work: Two-graphs and doubly transitive groups
cites work: Ovoids and spreads of finite classical polar spaces
cites work: Q4028455
cites work: Ovoids, spreads and \(m\)-systems of finite classical polar spaces
DOI: 10.1016/J.JALGEBRA.2003.09.002
description: scientific article; zbMATH DE number 2055697