Jonathan Johnson

collaborators

2 papers

math.GT2026

Searching for non-order-preserving braids algorithmically

Jonathan Johnson, Nancy Scherich, Hannah Turner

An $n$ -strand braid is order-preserving if its action on the free group $F_{n}$ preserves some bi-order of $F_{n}$ . A braid $I^^{2}$ is order-preserving if and only if the link $L$ obtaine…

math.GR2026

Order-Preserving outer automorphisms of free and surface groups

Jonathan Johnson, Khanh Le

We give a complete classification to when a finite group of outer automorphisms preserves a bi-order on a non-abelian free group and bi-orderable surface groups. We also give anoth…