Contributors

Shotaro Makisumi, Grace Stadnyk, and Benjamin Steinhurst

Overview

This group introduced the k-peg Hanoi automorphisms and Hanoi self-similar groups, a generalization of the Hanoi Towers groups, and gave conditions for them to be contractive. They analyzed the limit spaces of a particular family of contracting Hanoi groups, and showed that these are the unique maximal contracting Hanoi groups under a suitable symmetry condition. Finally, they provided partial results on the contraction of Hanoi groups with weaker symmetry.

Publications

arXiv.org
International Journal of Algebra and Computation (IJAC)

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