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arXiv · 1201.5894

Definable groups as homomorphic images of semilinear and field-definable groups

Pantelis Eleftheriou·Ya'acov Peterzil
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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.

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Pantelis Eleftheriou, Ya'acov Peterzil. 2012-02-27. Definable groups as homomorphic images of semilinear and field-definable groups. https://arxiv.org/abs/1201.5894

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