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Barbina, S.
(2007).
DOI: https://doi.org/10.1112/jlms/jdl016
Abstract
Let V be a countably infinite-dimensional vector space over a finite field F. Then V is omega-categorical, and so are the projective space PG(V) and the projective symplectic, unitary and orthogonal spaces on V. Using a reconstruction method developed by Rubin, we prove the following result: let M be one of the above spaces, and let N be an omega-categorical structure such that Aut(M) and Aut(N) are isomorphic as abstract groups. Then M and N are bi-interpretable. We also give a reconstruction result for the affine group AGL(V) acting on V by proving that V as an affine space is interpretable in AGL(V).
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About
- Item ORO ID
- 30741
- Item Type
- Journal Item
- ISSN
- 1469-7750
- Academic Unit or School
-
Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM) - Copyright Holders
- © 2007 London Mathematical Society
- Related URLs
- Depositing User
- Silvia Barbina