Search Results - Generalized quadrangles and generalized polygons in finite geometry

Tits polygons by Mühlherr, Bernhard, Weiss, Richard, Petersson, Holger P.

“…We introduce the notion of a Tits polygon, a generalization of the notion of a Moufang polygon, and show that Tits polygons arise in a natural way from certain configurations of parabolic subgroups…”
Get full text

On finite generalized quadrangles with PSL(2,q) as an automorphism group by Feng, Tao, Lu, Jianbing

“…Let S be a finite thick generalized quadrangle, and suppose that G is an automorphism group…”
Get full text

Epimorphisms of generalized polygons A: The planes, quadrangles and hexagons by Thas, Joseph A., Thas, Koen

“… In this first part of the series, we classify the cases m=3,4 and 6 when the polygons are finite…”
Get full text

Nonexistence of generalized quadrangles admitting a point-primitive and line-primitive automorphism group with socle PSU(3,q), q≥3 by Lu, Jianbing, Zhang, Yingnan, Zou, Hanlin

“…A central problem in the study of generalized quadrangles is to classify finite generalized quadrangles satisfying certain symmetry conditions…”
Get full text

On a relation between bipartite biregular cages, block designs and generalized polygons by Araujo‐Pardo, Gabriela, Jajcay, Robert, Ramos‐Rivera, Alejandra, Szőnyi, Tamás

“…A bipartite biregular (m,n;g) $(m,n;g)$‐graph Γ ${\rm{\Gamma }}$ is a bipartite graph of even girth g $g$ having the degree set {m,n} $\{m,n\}$ and satisfying…”
Get full text

Descent in Buildings (AM-190) by Mühlherr, Bernhard, Petersson, Holger P, Weiss, Richard M

“… The authors then put their algebraic solution into a geometric context by developing a general fixed point theory for groups acting on buildings of arbitrary type, giving necessary and sufficient…”
Get full text

Translation generalized quadrangles by Thas, J. A, Thas, J. A, Thas, K, Maldeghem, H. Van

“… The notion of translation generalized quadrangle is a local analogue of the more global “Moufang Condition”, a topic of great interest, also due to the classification of all Moufang polygons…”
Get full text

Forgetful polygons as generalizations of semi-affine planes by Govaert, E., Van Maldeghem, H.

“… We prove that, in the finite case, for n odd, and with an additional assumption also for n even, these geometries, which we call forgetful n-gons, always arise from (finite…”
Get full text

Finite geometries: classical problems and recent developments by Joseph A. Thas

“…In recent years there has been an increasing interest in finite projective spaces, and important applications to practical topics such as coding theory, cryptography and design of experiments…”
Get full text

An algebraic structure for Moufang quadrangles by Medts, Tom de

“…Very recently, the classification of Moufang polygons has been completed by Tits and Weiss. Moufang $n$-gons exist for $n \in \{3, 4, 6, 8 \}$ only. For $n \in \{3, 6, 8…”
Get full text

An algebraic structure for Moufang quadrangles by De Medts, Tom

Get full text

Homogeneous spaces, Tits buildings, and isoparametric hypersurfaces by Kramer, Linus

Get full text

An obstruction relating locally finite polygons to translation quadrangles by Thas, Koen

“…One of the most fundamental open problems in Incidence Geometry, posed by Tits in the 1960s, asks for the existence of so-called "locally finite generalized polygons…”
Get full text

Construction of codes based on finite generalized quadrangles for iterative decoding by Vontobel, P.O., Tanner, R.M.

“…Finite generalized polygons (FGPs) for constructing Tanner graphs are investigated, focusing on finite generalized quadrangles (FGQs…”
Get full text

No almost simple sporadic group acts primitively on the points of a generalised quadrangle by Bamberg, John, Evans, James

“… They are a specific case of the generalised polygons introduced by Tits, and these structures and their automorphism groups are of some importance in finite geometry…”
Get full text

Actions of Compact Groups on Compact (4,m)-Quadrangles by Biller, Harald

Get full text

Low-complexity near-maximum-likelihood multiuser detection and LDPC channel coding by Liu, Zhenyu

“…In digital communication systems, maximum likelihood (ML) multiuser detection and decoding of linear block codes translate to similar basic combinatorial…”
Get full text