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Ultrahomogeneous Semilinear Spaces
Author(s) -
Devillers Alice
Publication year - 2002
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/plms/84.1.35
Subject(s) - mathematics , isomorphism (crystallography) , automorphism , mathematics subject classification , pure mathematics , space (punctuation) , discrete mathematics , computer science , chemistry , crystal structure , crystallography , operating system
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.