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Domesticity in generalized quadrangles [PDF]

open access: yesAnnals 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

Covers of generalized quadrangles [PDF]

open access: yesGlasgow Mathematical Journal, 2018
We 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.
Thas, Joseph, Thas, Koen
core   +4 more sources

A question of Frohardt on $2$ -groups, skew translation quadrangles of even order and cyclic STGQs

open access: yesForum of Mathematics, Sigma, 2023
We solve a fundamental question posed in Frohardt’s 1988 paper [6] on finite $2$ -groups with Kantor familes, by showing that finite groups K with a Kantor family $(\mathcal {F},\mathcal {F}^*)$ having distinct members $A, B \in \mathcal
Koen Thas
doaj   +3 more sources

Additive two-dimensional splitting schemes for solving 3D suspension transport problems on optimal boundary-adaptive grids with uniform spacing’s in the vertical direction [PDF]

open access: yesE3S Web of Conferences, 2020
The article considers3D matter transport model in dissolved and suspended forms (impurities) in coastal marine systems. The initial boundary value problem numerical solution is carried out on the basis of local2D splitting schemes.
Sukhinov A, Sidoryakina V
doaj   +1 more source

Note on Discovering Doily in PG(2,5)

open access: yesMathematics, 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

On highly regular strongly regular graphs [PDF]

open access: yes, 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]

open access: yes, 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

The pseudo-hyperplanes and homogeneous pseudo-embeddings of the generalized quadrangles of order (3, t) [PDF]

open access: yes, 2012
In the paper "as reported by De Bruyn (Adv Geom, to appear)", we introduced the notions of pseudo-hyperplane and pseudo-embedding of a point-line geometry and proved that every generalized quadrangle of order (s, t), 2 a parts per thousand currency sign ...
De Bruyn, Bart
core   +2 more sources

A new construction of Moufang quadrangles of type E6, E7 and E8 [PDF]

open access: yes, 2014
In the classification of Moufang polygons by J. Tits and R. Weiss, the most intricate case is by far the case of the exceptional Moufang quadrangles of type E6, E7 and E8, and in fact, the construction that they present is ad-hoc and lacking a deeper ...
Boelaert, Lien, De Medts, Tom
core   +2 more sources

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