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ULTRAHOMOGENEOUS SEMILINEAR SPACES

Published online by Cambridge University Press:  13 February 2002

ALICE DEVILLERS
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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

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