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51-XX Geometry

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Displaying 61 – 80 of 152

Collineation groups of translation planes of small dimension.

Ostrom, T.G. (1981)

International Journal of Mathematics and Mathematical Sciences

Collineation Groups Whose Order is Prime to the Characteristic.

Thedore G. Ostrom (1977)

Mathematische Zeitschrift

Collineations and Extensions of Translation Nets.

Aiden A. Bruen (1975)

Mathematische Zeitschrift

Collineations of Subiaco and Cherowitzo hyperovals.

O'Keefe, Christine M., Thas, J.A. (1996)

Bulletin of the Belgian Mathematical Society - Simon Stevin

Collineations of the Subiaco generalized quadrangles.

Payne, S.E. (1994)

Bulletin of the Belgian Mathematical Society - Simon Stevin

Colouring polytopic partitions in $ℝ^{d}$

Michal Křížek (2002)

Mathematica Bohemica

We consider face-to-face partitions of bounded polytopes into convex polytopes in $ℝ^{d}$ for arbitrary $d \geq 1$ and examine their colourability. In particular, we prove that the chromatic number of any simplicial partition does not exceed $d + 1$ . Partitions of polyhedra in $ℝ^{3}$ into pentahedra and hexahedra are $5$ - and $6$ -colourable, respectively. We show that the above numbers are attainable, i.e., in general, they cannot be reduced.

Colouring polytopic partitions in $ℝ^{d}$

Křížek, Michal (2002)

Proceedings of Equadiff 10

Combinatorial and group-theoretic compactifications of buildings

Pierre-Emmanuel Caprace, Jean Lécureux (2011)

Annales de l’institut Fourier

Let $X$ be a building of arbitrary type. A compactification $𝒞_{sph} (X)$ of the set ${Res}_{sph} (X)$ of spherical residues of $X$ is introduced. We prove that it coincides with the horofunction compactification of ${Res}_{sph} (X)$ endowed with a natural combinatorial distance which we call the root-distance. Points of $𝒞_{sph} (X)$ admit amenable stabilisers in $Aut (X)$ and conversely, any amenable subgroup virtually fixes a point in $𝒞_{sph} (X)$ . In addition, it is shown that, provided $Aut (X)$ is transitive enough, this compactification also coincides with the group-theoretic...

Combinatorial Complexity Bounds for Arrangements of Curves and Spheres.

H. Edelsbrunner, E. Welzl, L.J. Guibas, K.L. Clarkson, M. Sharir (1990)

Discrete & computational geometry

Combinatorial Geometries Representable over GF(3) and GF(q). I. The Number of Points.

J.P.S. Kung (1990)

Discrete & computational geometry

Combinatorics, group theory and geometric models

Jean Pedersen (1981)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

Combinatorics of non-holonomous jets

Anders Kock (1985)

Czechoslovak Mathematical Journal

Combing Euclidean buildings.

Noskov, Gennady A. (2000)

Geometry & Topology

Compact 16-Dimensional Projective Planes with Large Collineation Groups.

H. Salzmann (1982)

Mathematische Annalen

Compact 16-dimensional Projective Planes with Large Collineation Groups. II.

Helmut Salzmann (1983)

Monatshefte für Mathematik

Compact 16-dimensional Projective Planes with Large Collineation Groups. III.

Helmut Salzmann (1984)

Mathematische Zeitschrift

Compact 8-dimensional Projective Planes.

Helmut Salzmann (1990)

Forum mathematicum

Compact Disconnected Planes, Inverse Limits and Homomorphisms.

Theo Grundhöfer (1988)

Monatshefte für Mathematik

Compact groups of automorphisms of stable planes.

Markus Stroppel (1994)

Forum mathematicum

Compact hyperbolic Coxeter $n$ -polytopes with $n + 3$ facets.

Tumarkin, Pavel (2007)

The Electronic Journal of Combinatorics [electronic only]

Currently displaying 61 – 80 of 152

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