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arXiv · 1802.07109

The derived subgroup of linear and simply-connected o-minimal groups

Elías Baro
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Abstract

We show that the derived subgroup of a linear definable group in an o-minimal structure is also definable, extending the semialgebraic case proved by A. Pillay. We also show the definability of the derived subgroup in case that the group is simply-connected.

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Elías Baro. 2018-02-20. The derived subgroup of linear and simply-connected o-minimal groups. https://arxiv.org/abs/1802.07109

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