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Publications > Preprint server > Preprint Number 417
Preprint Number 417
417. Pantelis Eleftheriou and Ya'acov Peterzil Definable groups as homomorphic images of semilinear and field-definable groups E-mail: Submission date: 31 January 2012. Abstract: 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 Keywords and phrases: |
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