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51-XX Geometry
51Exx Finite geometry and special incidence structures

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$*$ -biregular rings

Christopher J. Duckenfield (1972)

Commentationes Mathematicae Universitatis Carolinae

$(S_{3}, S_{6})$ -Amalgams IV

Wolfgang Lempken, Christopher Parker, Peter Rowley (2005)

Rendiconti del Seminario Matematico della Università di Padova

$(S_{3}, S_{6})$ -Amalgams V

Wolfgang Lempken, Christopher Parker, Peter Rowley (2007)

Rendiconti del Seminario Matematico della Università di Padova

$(S_{3}, S_{6})$ -Amalgams VI

Wolfgang Lempken, Christopher Parker, Peter Rowley (2007)

Rendiconti del Seminario Matematico della Università di Padova

$(S_{3}, S_{6})$ -Amalgams VII

Wolfgang Lempken, Christopher Parker, Peter Rowley (2008)

Rendiconti del Seminario Matematico della Università di Padova

$2 - (n^{2}, 2 n, 2 n - 1)$ designs obtained from affine planes

Andrea Caggegi (2006)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

The simple incidence structure $𝒟 (𝒜, 2)$ formed by points and unordered pairs of distinct parallel lines of a finite affine plane $𝒜 = (𝒫, ℒ)$ of order $n > 2$ is a $2 - (n^{2}, 2 n, 2 n - 1)$ design. If $n = 3$ , $𝒟 (𝒜, 2)$ is the complementary design of $𝒜$ . If $n = 4$ , $𝒟 (𝒜, 2)$ is isomorphic to the geometric design $A G_{3} (4, 2)$ (see [2; Theorem 1.2]). In this paper we give necessary and sufficient conditions for a $2 - (n^{2}, 2 n, 2 n - 1)$ design to be of the form $𝒟 (𝒜, 2)$ for some finite affine plane $𝒜$ of order $n > 4$ . As a consequence we obtain a characterization of small designs $𝒟 (𝒜, 2)$ .

24 self-inscribed decagons in Desargues configuration $10_{3}$

Kishore Sinha (1976)

Časopis pro pěstování matematiky

2-blocking sets in PG(4, $q$ ), $q$ square.

Metsch, Klaus, Storme, L. (2000)

Beiträge zur Algebra und Geometrie

2-transitiv abstract ovals of odd order.

G. Korchmaros (1987)

Aequationes mathematicae

4-dimensionale Translationsebenen.

Dieter Betten (1972)

Mathematische Zeitschrift

4-dimensionale Translationsebenen mit 7-dimensionaler Kollineationsgruppe.

Dieter Betten (1976)

Journal für die reine und angewandte Mathematik

4-dimensionale Translationsebenen mit kommutativer Standgruppe.

Dieter Betten (1977)

Mathematische Zeitschrift

$5$ types of configurations of $9$ flexes and $27$ sextactic points of a cubic

Sahib Ram Mandan (1981)

Časopis pro pěstování matematiky

(v, k, ...)-Graphs and Polarities of (v, k, ...)-Designs.

Arunas Rudvalis (1971)

Mathematische Zeitschrift

Аутоморфизмы одного класса конфигураций

Melichar Kopas (1973)

Matematický časopis

Группа автотопизмов полуполевой $p$ -примитивной плоскости порядка $p^{4}$ .

Н.Д. Подуфалов, И.В. Бусаркина, N. D. Podufalov, I. V.. Busarkina, N. D. Podufalov, I. V.. Busarkina, N. D. Podufalov, I. V.. Busarkina (1996)

Algebra i Logika

Дуальные пространства Галуа

С.Б. Капралова (1980)

Trudy Geometriceskogo Seminara

Зеркальные конфигурации точек и прямых и алгебраические поверхности степени 4

С.С. Подкорытов (1995)

Zapiski naucnych seminarov POMI

К теории проективных плоскостей

А.И. Ширшов, А.А. Никитин (1981)

Algebra i Logika

Конечные локально $G Q (3, 3)$ -графы.

А.А. Махнёв (1994)

Sibirskij matematiceskij zurnal

Currently displaying 1 – 20 of 40

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