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Preprint Number 417

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417. Pantelis Eleftheriou and Ya'acov Peterzil
Definable groups as homomorphic images of semilinear and field-definable groups

Submission date: 31 January 2012.


We analyze definably compact groups in o-minimal expansions of ordered groups as a combination of semi-linear groups and groups definable in o-minimal expansions of real closed fields. The analysis involves structure theorems about their locally definable covers. As a corollary, we prove the Compact Domination Conjecture in o-minimal expansions of ordered groups.

Mathematics Subject Classification: 03C64, 03C68, 22B99

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Full text arXiv 1201.5894: pdf, ps.

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