Catalog · 10.5281/zenodo.23420087
Bi-orderable soluble groups with only Conradian left orders
- Martino Lupini · University of Bologna
16 October 2026 · CC BY 4.0 · latest of 2 versions
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Bi-orderable soluble groups with only Conradian left orders
Martino Lupini
Abstract
We prove that a soluble bi-orderable group all of whose left orders are Conradian is locally nilpotent, without any finite-generation or countability assumption. Consequently, every subgroup of such a group also has only Conradian left orders. This answers the soluble, bi-orderable case of the subgroup question posed by A. H. Rhemtulla and recorded in 2009.
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- 10.5281/zenodo.23420087
- Concept 10.5281/zenodo.23420086
- Record 23420087 · CC BY 4.0
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BibTeX
@unpublished{Lupini202623420087,
title = {Bi-orderable soluble groups with only Conradian left orders},
author = {Martino Lupini},
year = {2026},
doi = {10.5281/zenodo.23420087},
note = {Zenodo deposit, latest of 2}
}