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Preprint Number 1165

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1165. Levon Haykazyan
Groups with Locally Modular Homogeneous Pregeometries are Commutative

Submission date: 20 February 2017


t is well known that strongly minimal groups are commutative. Whether this is true for various generalisations of strong minimality has been asked in several different settings (see Hyttinen [2002], Maesono [2007], Pillay and Tanović [2011]). In this note we show that the answer is positive for groups with locally modular homogeneous pregeometries.

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Full text arXiv 1702.06043: pdf, ps.

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