RT Journal Article
T1 Regular left-orders on groups
A1 Antolín Pichel, Yago
A1 Rivas, Cristóbal
A1 Lu Su, Hang
AB A regular left-order on finitely generated group a group G is a total, left-multiplication invariant order on G whose corresponding positive cone is the image of a regular language over the generating set of the group under the evaluation map. We show that admitting regular left-orders is stable under extensions and wreath products and give a classification of the groups all whose left-orders are regular left-orders. In addition, we prove that solvable Baumslag-Solitar groups B(1, n) admits a regular left-order if and only if n ≥ −1. Finally, Hermiller and Sunic showed that no free product admits a regular left-order, however we show that if A and B are groups with regular left-orders, then (A ∗ B) × Z admits a regular left-order.
YR 2021
FD 2021-04-12
LK https://hdl.handle.net/20.500.14352/7213
UL https://hdl.handle.net/20.500.14352/7213
LA eng
NO Unión Europea. Horizonte 2020
NO Ministerio de Economía y Competitividad (MINECO)
NO Ministerio de Ciencia e Innovación (MICINN)
NO Centro de Excelencia Severo Ochoa
NO Fundación "La Caixa"
NO Gobierno de Chile
DS Docta Complutense
RD 11 abr 2025