English

A constructive proof that the Hanoi towers group has non-trivial rigid kernel

Group Theory 2017-11-30 v2

Abstract

In 2012, Bartholdi, Siegenthaler, and Zalesskii computed the rigid kernel of the Hanoi towers group. We present a simpler proof that the rigid kernel is the Klein 4 group. In the course of the proof, we also compute the rigid stabilizers and present proofs that this group is a self-similar, recurrent, regular branch group.

Cite

@article{arxiv.1606.00772,
  title  = {A constructive proof that the Hanoi towers group has non-trivial rigid kernel},
  author = {Rachel Skipper},
  journal= {arXiv preprint arXiv:1606.00772},
  year   = {2017}
}

Comments

minor changes based on referee suggestions

R2 v1 2026-06-22T14:16:06.312Z