Groups with Locally Modular Homogeneous Pregeometries are Commutative
Logic
2017-04-14 v2 Combinatorics
Group Theory
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.
Cite
@article{arxiv.1702.06043,
title = {Groups with Locally Modular Homogeneous Pregeometries are Commutative},
author = {Levon Haykazyan},
journal= {arXiv preprint arXiv:1702.06043},
year = {2017}
}