Barbina, S.
(2007).
| DOI (Digital Object Identifier) Link: | http://doi.org/10.1112/jlms/jdl016 |
|---|---|
| Google Scholar: | Look up in Google Scholar |
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).
| Item Type: | Journal Article |
|---|---|
| Copyright Holders: | 2007 London Mathematical Society |
| ISSN: | 1469-7750 |
| Academic Unit/Department: | Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics Faculty of Science, Technology, Engineering and Mathematics (STEM) |
| Related URLs: | |
| Item ID: | 30741 |
| Depositing User: | Silvia Barbina |
| Date Deposited: | 11 Jan 2012 14:49 |
| Last Modified: | 02 Aug 2016 14:08 |
| URI: | http://oro.open.ac.uk/id/eprint/30741 |
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