Výsledky vyhledávání - Generalized quadrangles and generalized polygons in finite geometry

Tits polygons Autor 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…”
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On finite generalized quadrangles with PSL(2,q) as an automorphism group Autor Feng, Tao, Lu, Jianbing

“…Let S be a finite thick generalized quadrangle, and suppose that G is an automorphism group…”
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Epimorphisms of generalized polygons A: The planes, quadrangles and hexagons Autor 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…”
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Nonexistence of generalized quadrangles admitting a point-primitive and line-primitive automorphism group with socle PSU(3,q), q≥3 Autor 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…”
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Translation generalized quadrangles Autor 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…”
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On a relation between bipartite biregular cages, block designs and generalized polygons Autor 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…”
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Descent in Buildings (AM-190) Autor 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…”
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Forgetful polygons as generalizations of semi-affine planes Autor 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…”
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Finite geometries: classical problems and recent developments Autor 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…”
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An algebraic structure for Moufang quadrangles Autor 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…”
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An algebraic structure for Moufang quadrangles Autor De Medts, Tom

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

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An obstruction relating locally finite polygons to translation quadrangles Autor 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…”
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Construction of codes based on finite generalized quadrangles for iterative decoding Autor Vontobel, P.O., Tanner, R.M.

“…Finite generalized polygons (FGPs) for constructing Tanner graphs are investigated, focusing on finite generalized quadrangles (FGQs…”
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No almost simple sporadic group acts primitively on the points of a generalised quadrangle Autor 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…”
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Actions of Compact Groups on Compact (4,m)-Quadrangles Autor Biller, Harald

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

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