Barbina, S.
(2007).
*Journal of the London Mathematical Society*, 75(2) pp. 298–316.

DOI (Digital Object Identifier) Link: | http://dx.doi.org/10.1112/jlms/jdl016 |
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## 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 |
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Copyright Holders: | 2007 London Mathematical Society |

ISSN: | 1469-7750 |

Academic Unit/Department: | Mathematics, Computing and Technology > Mathematics and Statistics Mathematics, Computing and Technology |

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Item ID: | 30741 |

Depositing User: | Silvia Barbina |

Date Deposited: | 11 Jan 2012 14:49 |

Last Modified: | 18 Jan 2016 11:44 |

URI: | http://oro.open.ac.uk/id/eprint/30741 |

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