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

2012/01/27 by Pantelis E. Eleftheriou, Eleftheriou, Pantelis, Ya’acov Peterzil +1
Mathematics · #Advanced Topology and Set Theory #Rings, Modules, and Algebras #Mathematical and Theoretical Analysis

paper · pdf · doi:10.48550/arxiv.1201.5894

Abstract

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

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