Isolated circular orders on free products of cyclic groups
Abstract
Abstract In this article, we construct countably many isolated circular orders on the free products $G = F_{2n} \ast \mathbb {Z}_{m_1} \ast \cdots \ast \mathbb {Z}_{m_k}$ of cyclic groups. Moreover, we prove that these isolated circular orders are not the automorphic images of the others. By using these isolated circular orders, we also construct countably many isolated left orders on a certain central $\mathbb {Z}$ -extension of G , which are not the automorphic images of the others.
Fields of Study & Subjects
Geometric and Algebraic Topology
Mathematical Dynamics and Fractals
semigroups and automata theory
Publication details
- Journal / source
- Canadian Mathematical Bulletin
- Publisher
- Canadian Mathematical Society
- Pages
- 1–24
- Publication date
- 24 March 2026
- Language
- EN