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

Mathematics – Logic

Scientific paper

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arXiv admin note: substantial text overlap with arXiv:1103.4770

Scientific paper

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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