Suchergebnisse - Generalized quadrangles and generalized polygons in finite geometry

Tits polygons von 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 …”
Volltext

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

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

Descent in Buildings (AM-190) von 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 …”
Volltext

Epimorphisms of generalized polygons A: The planes, quadrangles and hexagons von 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 …”
Volltext

Nonexistence of generalized quadrangles admitting a point-primitive and line-primitive automorphism group with socle PSU(3,q), q≥3 von 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 …”
Volltext

On a relation between bipartite biregular cages, block designs and generalized polygons von 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 …”
Volltext

Translation generalized quadrangles von 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 …”
Volltext

Forgetful polygons as generalizations of semi-affine planes von 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 …”
Volltext

Finite geometries: classical problems and recent developments von 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 …”
Volltext

An algebraic structure for Moufang quadrangles von 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 …”
Volltext

An algebraic structure for Moufang quadrangles von De Medts, Tom

Volltext

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

Volltext

An obstruction relating locally finite polygons to translation quadrangles von 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 …”
Volltext

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

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

No almost simple sporadic group acts primitively on the points of a generalised quadrangle von 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 …”
Volltext

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

Volltext

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

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