Invariable generation of certain groups of piecewise projective homeomorphisms of the real line

2023/02/21 by Maruyama, Shuhei
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2302.10653

Abstract

We show that the following groups are invariably generated; the group of piecewise projective homeomorphisms of the real line, the group of piecewise PSL(2,ℤ) homeomorphisms of the real line, Monod's group H(ℤ), the group of piecewise PSL(2,ℚ) homeomorphisms of the real line with rational breakpoints. We also show that the Higman--Thompson group F_n for every n ∈ ℤ_{≥ 3} and the golden ratio Thompson group F_τ are invariably generated.

Related

• Invariable generation of certain groups of piecewise linear homeomorphisms of the interval
• Conjugacy and Centralizers in Groups of Piecewise Projective Homeomorphisms
• A finitely presented group of piecewise projective homeomorphisms
• Approximating nonabelian free groups by groups of homeomorphisms of the\n real line
• On Groups of PL-homeomorphisms of the Real Line