Linnell, Peter A. The space of left orders of a group is either finite or uncountable. (English) Zbl 1215.06009 Bull. Lond. Math. Soc. 43, No. 1, 200-202 (2011). By introducing a natural topology on the set \(O_G\) of left orderings on a group \(G\), it is shown that \(O_G\) can never be countably infinite. Reviewer: Marius Tărnăuceanu (Iaşi) Cited in 1 ReviewCited in 20 Documents MSC: 06F15 Ordered groups 20F60 Ordered groups (group-theoretic aspects) Keywords:finite groups; left orders; topology PDFBibTeX XMLCite \textit{P. A. Linnell}, Bull. Lond. Math. Soc. 43, No. 1, 200--202 (2011; Zbl 1215.06009) Full Text: DOI arXiv