Hostname: page-component-78c5997874-mlc7c Total loading time: 0 Render date: 2024-11-09T14:16:00.903Z Has data issue: false hasContentIssue false
  • English
  • Français

ULTRAHOMOGENEOUS SEMILINEAR SPACES

Published online by Cambridge University Press:  13 February 2002

ALICE DEVILLERS
Get access

Abstract

A semilinear space S is ultrahomogeneous if each isomorphism between the semilinear structures induced on two finite subsets can be extended to an automorphism of S. We give a complete classification of all finite ultrahomogeneous semilinear spaces. Our theorem extends a result of A. Gardiner on graphs and a result of A. Devillers and J. Doyen on linear spaces.

2000 Mathematical Subject Classification: 05B25, 51E14, 20B25.

Keywords

semilinear spacepolar spacecopolar spacepartial geometryautomorphism groupultrahomogeneity
Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 84 , Issue 1 , March 2002 , pp. 35 - 58
Copyright
2002 London Mathematical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)