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In questa Nota costruiamo una famiglia $F$ di $k$ -archi completi di $P G (2, q)$ tale che $(11 / 24) (q + 1) + 3 \leq |K| \leq (q + 1) / 2 + 2$ , per ogni $K \in F$ . La dimostrazione della completezza si basa sul classico Teorema di Hasse-Weil riguardante il numero dei punti di una curva algebrica irriducibile di $P G (2, q)$ .

Immeubles de Tits triangulaires exotiques

Sylvain Barré (2000)

Annales de la Faculté des sciences de Toulouse : Mathématiques

Improvement of inequalities for the $(r, q)$ -structures and some geometrical connections

Vojtech Bálint, Philippe Lauron (1995)

Archivum Mathematicum

The main results are the inequalities (1) and (6) for the minimal number of $(r, q)$ -structure classes,which improve the ones from [3], and also some geometrical connections, especially the inequality (13).

Incidence structures of independent sets

František Machala (1999)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

Intersections in Projective Space I: Combinatorics.

A.A. Bruen, J.W.P. Hirschfeld (1986)

Mathematische Zeitschrift

Invariants of a class of transformation groups II.

H. Schwerdtfeger (1978)

Aequationes mathematicae

Invariants of a class of transformation groups II. (Short Communication).

H. Schwerdtfeger (1978)

Aequationes mathematicae

Involutory Collineations of Finite Planes.

C.Y. Ho (1986)

Mathematische Zeitschrift

Isometric imbeddings of Euclidean spaces into finite dimensional $l_{p}$ -spaces

Hermann König (1995)

Banach Center Publications

It is shown that $l_{2}^{n}$ imbeds isometrically into $l_{4}^{n^{2} + 1}$ provided that n is a prime power plus one, in the complex case. This and similar imbeddings are constructed using elementary techniques from number theory, combinatorics and coding theory. The imbeddings are related to existence of certain cubature formulas in numerical analysis.

Isomorphism of projective planes and isotopism of planar ternary rings

Pavel Burda (1977)

Časopis pro pěstování matematiky

Isomorphisms between Subiaco $q$ -clan geometries.

Payne, S.E., Penttila, Tim, Pinneri, Ivano (1995)

Bulletin of the Belgian Mathematical Society - Simon Stevin

$k$ -arcs in finite Benz planes.

Kurtuluş, Aytaç, Olgun, Şükrü (2003)

APPS. Applied Sciences

Kac-Moody groups, hovels and Littelmann paths

Stéphane Gaussent, Guy Rousseau (2008)

Annales de l’institut Fourier

We give the definition of a kind of building $ℐ$ for a symmetrizable Kac-Moody group over a field $K$ endowed with a discrete valuation and with a residue field containing $ℂ$ . Due to the lack of some important property of buildings, we call it a hovel. Nevertheless, some good ones remain, for example, the existence of retractions with center a sector-germ. This enables us to generalize many results proved in the semisimple case by S. Gaussent and P. Littelmann. In particular, if $K = ℂ ((t))$ , the geodesic segments...

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Displaying 161 – 180 of 453

Hyperbolic lines in generalized polygons.

Hyperplane Coverings and Blocking Sets.

Hyperplanes of dual polar spaces of rank 3 with no subquadrangular quad.

Il sottogruppo generato dalle involuzioni regolari di un $B$ -ovale $2$ -transitivo

Il Teorema di Hasse-Weil e la costruzione di archi completi di cardinalità piccola in piani di Galois di ordine dispari