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One of the oldest and most fundamental problems in the theory of finite projective planes is to classify those having a group which acts transitively on the incident point-line pairs (flags). The conjecture is that the only ones are the Desarguesian projective planes (over a finite field). In this paper, we show that non-Desarguesian finite flag-transitive projective planes exist if and only if certain Fermat surfaces have no nontrivial rational points, and formulate several other equivalences involving...

Formules de Matsushima, de Garland et propriété (T) pour des groupes agissant sur des espaces symétriques ou des immeubles

Pierre Pansu (1998)

Bulletin de la Société Mathématique de France

Free extensions of $(a, b)$ -systems

Václav Havel (1970)

Czechoslovak Mathematical Journal

Frobenius collineations in finite projective planes.

Ueberberg, Johannes (1997)

Bulletin of the Belgian Mathematical Society - Simon Stevin

Displaying 1 – 15 of 15

Families of nets of low and medium strength.

Finite C3 Geometries in Which All Lines Are Thin.

Finite geometries, varieties and codes.

Finite linear spaces with two more lines than points.

Finite line-transitive linear spaces: Parameters and normal point-partitions.

Finite projective planes, Fermat curves, and Gaussian periods

Finite spherical geometries

Finite translation planes, an exposition.

Flag transitive Af.Cn geoemtries.

Flag transitive $c \cdot A f^{*}$ geometries.

Flag-transitive extensions of dual affine spaces.

Flocks in PG(3, q).

Formules de Matsushima, de Garland et propriété (T) pour des groupes agissant sur des espaces symétriques ou des immeubles

Free extensions of $(a, b)$ -systems

Frobenius collineations in finite projective planes.

Currently displaying 1 – 15 of 15