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Displaying 41 – 60 of 161

Extremely primitive groups and linear spaces

Haiyan Guan, Shenglin Zhou (2016)

Czechoslovak Mathematical Journal

A non-regular primitive permutation group is called extremely primitive if a point stabilizer acts primitively on each of its nontrivial orbits. Let $𝒮$ be a nontrivial finite regular linear space and $G \leq Aut (𝒮) .$ Suppose that $G$ is extremely primitive on points and let rank $(G)$ be the rank of $G$ on points. We prove that rank $(G) \geq 4$ with few exceptions. Moreover, we show that $Soc (G)$ is neither a sporadic group nor an alternating group, and $G = PSL (2, q)$ with $q + 1$ a Fermat prime if $Soc (G)$ is a finite classical simple group.

Finite C3 Geometries in Which All Lines Are Thin.

Sarah Rees (1985)

Mathematische Zeitschrift

Finite geometries, varieties and codes.

Thas, Joseph A. (1998)

Documenta Mathematica

Finite linear spaces with two more lines than points.

Paul de Witte (1976)

Journal für die reine und angewandte Mathematik

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

Delandtsheer, A., Niemeyer, A.C., Praeger, Ch.E. (2003)

Advances in Geometry

Finite projective planes, Fermat curves, and Gaussian periods

Koen Thas, Don Zagier (2008)

Journal of the European Mathematical Society

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...

Finite spherical geometries

Bohdan Zelinka (1981)

Časopis pro pěstování matematiky

Flag-transitive extensions of dual affine spaces.

Huybrechts, Cécile, Pasini, Antonio (1999)

Beiträge zur Algebra und Geometrie

Generalised Semiplanes and Certain Divisible Partial Designs.

Vassili C. Mavron, Nicholas J. Cron (1978)

Mathematische Zeitschrift

Generalization of one Baer's theorem for nets

Václav Havel (1976)

Časopis pro pěstování matematiky

Geometric hyperquasigroups and line spaces

Guiseppe Tallini (1984)

Acta Universitatis Carolinae. Mathematica et Physica

Geometrie und Kombinatorik.

M. Jeger (1981)

Elemente der Mathematik

Géométries combinatoires finies

Monique Lafon (1972)

Annales de l'I.H.P. Probabilités et statistiques

Going down in (semi)lattices of finite Moore families and convex geometries

Bordalo Gabriela, Caspard Nathalie, Monjardet Bernard (2009)

Czechoslovak Mathematical Journal

In this paper we first study what changes occur in the posets of irreducible elements when one goes from an arbitrary Moore family (respectively, a convex geometry) to one of its lower covers in the lattice of all Moore families (respectively, in the semilattice of all convex geometries) defined on a finite set. Then we study the set of all convex geometries which have the same poset of join-irreducible elements. We show that this set—ordered by set inclusion—is a ranked join-semilattice and we...

Currently displaying 41 – 60 of 161

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