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arXiv · 1702.06043

Groups with Locally Modular Homogeneous Pregeometries are Commutative

Levon Haykazyan
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Abstract

It 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 Tanovi\'c [2011]). In this note we show that the answer is positive for groups with locally modular homogeneous pregeometries.

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BibTeXRIS

Levon Haykazyan. 2017-02-20. Groups with Locally Modular Homogeneous Pregeometries are Commutative. https://arxiv.org/abs/1702.06043

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