Results 1 to 10 of about 12,222 (138)
Domesticity in generalized quadrangles [PDF]
Annals of Combinatorics, 2012 An automorphism of a generalized quadrangle is called domestic if it maps no chamber, which is here an incident point-line pair, to an opposite chamber. We call it point-domestic if it maps no point to an opposite one and line-domestic if it maps no line
Temmermans, Beukje +2 more
core +3 more sources
Classification of skew translation generalized quadrangles, I [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 Combinatorics
Koen Thas
doaj +7 more sources
Doily as Subgeometry of a Set of Nonunimodular Free Cyclic Submodules
Axioms, 2019 In this paper, it is shown that there exists a particular associative ring with unity of order 16 such that the relations between non-unimodular free cyclic submodules of its two-dimensional free left module can be expressed in terms of the structure of ...
Metod Saniga, Edyta Bartnicka
doaj +3 more sources
Note on Discovering Doily in PG(2,5)
Mathematics, 2023 W. L. Edge proved that the internal points of a conic in PG(2,5), together with the collinear triples on the non-secant lines, form the Desargues configuration. M.
Stefano Innamorati
doaj +1 more source
Kuwait Journal of Science, 2023 The purpose of this paper is to give an elementary and explicit construction of maximal parabolic centralizers of root elements in the Chevalley group E₆(K), and to show that the centralizer of a Seigel involution in the Weyl group W of type E₆(K) is the
Abdulkareem Alhuraiji +1 more
doaj +1 more source
On minimal blocking sets of the generalized quadrangle $Q(4, q)$ [PDF]
Discrete Mathematics & Theoretical Computer Science, 2005 The generalized quadrangle $Q(4,q)$ arising from the parabolic quadric in $PG(4,q)$ always has an ovoid. It is not known whether a minimal blocking set of size smaller than $q^2 + q$ (which is not an ovoid) exists in $Q(4,q)$, $q$ odd. We present results
Miroslava Cimráková, Veerle Fack
doaj +1 more source
COVERS OF GENERALIZED QUADRANGLES [PDF]
Glasgow Mathematical Journal, 2018 AbstractWe solve a problem posed by Cardinali and Sastry (Elliptic ovoids and their rosettes in a classical generalized quadrangle of even order.Proc. Indian Acad. Sci. Math. Sci.126(2016), 591–612) about factorization of 2-covers of finite classical generalized quadrangles (GQs). To that end, we develop a general theory of cover factorization for GQs,
Thas, Joseph, Thas, Koen
openaire +3 more sources
On highly regular strongly regular graphs [PDF]
, 2020 In this paper we unify several existing regularity conditions for graphs, including strong regularity, $k$-isoregularity, and the $t$-vertex condition. We develop an algebraic composition/decomposition theory of regularity conditions.
Pech, Christian
core +3 more sources
Every generalized quadrangle of order 5 having a regular point is symplectic [PDF]
, 2015 For many years now, one of the most important open problems in the theory of generalized quadrangles has been whether other classes of generalized quadrangles exist besides those that are currently known.
De Bruyn, Bart
core +1 more source
Central aspects of skew translation quadrangles, 1 [PDF]
, 2017 Modulo a combination of duality, translation duality or Payne integration, every known finite generalized quadrangle except for the Hermitian quadrangles H(4, q2), is an elation generalized quadrangle for which the elation point is a center of symmetry ...
Thas, Koen
core +1 more source