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

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, recurren...

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Bibliographic Details
Published in:arXiv.org 2017-11
Main Author: Skipper, Rachel
Format: Article
Language:English
Subjects:
Kernels
Self-similarity
Towers
Online Access:Get full text
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Summary: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.
ISSN:2331-8422