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arXiv · 1409.0119

The word problem in Hanoi Towers groups

Ievgen Bondarenko
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Abstract

We prove that elements of the Hanoi Towers groups $\mathcal{H}_m$ have depth bounded from above by a poly-logarithmic function $O(\log^{m-2} n)$, where $n$ is the length of an element. Therefore the word problem in groups $\mathcal{H}_m$ is solvable in subexponential time $\exp(O(\log^{m-2} n))$.

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Ievgen Bondarenko. 2014-08-30. The word problem in Hanoi Towers groups. https://arxiv.org/abs/1409.0119

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