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.References
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Additional Information
- Levon Haykazyan
- Affiliation: Department of Pure Mathematics, University of Waterloo, 200 University Avenue West, Waterloo, Ontario, Canada N2L 3G1
- MR Author ID: 1101220
- Received by editor(s): February 21, 2017
- Received by editor(s) in revised form: April 13, 2017
- Published electronically: September 13, 2017
- Communicated by: Heike Mildenberger
- © Copyright 2017 Levon Haykazyan
- Journal: Proc. Amer. Math. Soc. 146 (2018), 1325-1330
- MSC (2010): Primary 03C99; Secondary 05B35, 20E99
- DOI: https://doi.org/10.1090/proc/13786
- MathSciNet review: 3750243