The BNSR-invariants of the Stein group 𝐹2,3

  title={The BNSR-invariants of the Stein group 𝐹2,3},
  author={R. Spahn and Matthew C. B. Zaremsky},
  journal={Journal of Group Theory},
Abstract The Stein group F2,3F_{2,3} is the group of orientation-preserving piecewise linear homeomorphisms of the unit interval with slopes of the form 2p⁢3q2^{p}3^{q} (p,q∈Zp,q\in\mathbb{Z}) and breakpoints in Z⁢[16]\mathbb{Z}[\frac{1}{6}]. This is a natural relative of Thompson’s group 𝐹. In this paper, we compute the Bieri–Neumann–Strebel–Renz (BNSR) invariants Σm⁢(F2,3)\Sigma^{m}(F_{2,3}) of the Stein group for all m∈Nm\in\mathbb{N}. A consequence of our computation is that (as with… Expand