On the action of the ${\varSigma }(2,3,7)$ homology sphere group on its space of left-orders
Volume 261 / 2023
Fundamenta Mathematicae 261 (2023), 297-302
MSC: Primary 37C85; Secondary 57M60, 37B05, 37E05.
DOI: 10.4064/fm196-1-2023
Published online: 13 February 2023
Abstract
We show that the action of the group $\Gamma =\langle a,b,c\mid a^2=b^3=c^7=abc\rangle $ on its space of left-orders has exactly two minimal components.