Groups with locally modular homogeneous pregeometries are commutative

Haykazyan, Levon

doi:10.1090/proc/13786

Groups with locally modular homogeneous pregeometries are commutative
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by Levon Haykazyan PDF

Proc. Amer. Math. Soc. 146 (2018), 1325-1330

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. In this note we show that the answer is positive for groups with locally modular homogeneous pregeometries.

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