Modified Hanoi Towers Groups and Limit Spaces


Shotaro Makisumi, Grace Stadnyk, and Benjamin Steinhurst


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.

International Journal of Algebra and Computation (IJAC)