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MODIFIED HANOI TOWERS GROUPS AND LIMIT SPACES

SHOTARO MAKISUMI

Department of Mathematics, Princeton University, Princeton, NJ 08544, USA

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GRACE STADNYK

Department of Mathematics, Hamiton College, Clinton, NY 13323, USA

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, and

BENJAMIN STEINHURST

Department of Mathematics, University of Connecticut, Storrs, CT 06269, USA

Department of Mathematics, Cornell University, Ithaca, NY 14853, USA

Corresponding author.

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https://doi.org/10.1142/S0218196711006443Cited by:0 (Source: Crossref)

Abstract

We introduce the k-peg Hanoi automorphisms and Hanoi self-similar groups, a generalization of the Hanoi Towers groups, and give conditions for them to be contracting. We analyze the limit spaces of a particular family of contracting Hanoi groups, , and show that these are the unique maximal contracting Hanoi groups under a suitable symmetry condition. Finally, we provide partial results on the contraction of Hanoi groups with weaker symmetry.

Keywords:

AMSC: 20E08, 28A80

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