The word problem in Hanoi Towers groups

We prove that the elements of the Hanoi Towers groups Hm have depth bounded from above by a poly-logarithmic function O(logm⁻²n), where n is the length of an element. Therefore the word problem in groups Hm is solvable in subexponential time exp(O(logm⁻²n)).

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Bibliographische Detailangaben
Datum:2014
1. Verfasser: Bondarenko, I.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут прикладної математики і механіки НАН України 2014
Schriftenreihe:Algebra and Discrete Mathematics
Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/153336
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:The word problem in Hanoi Towers groups / I. Bondarenko // Algebra and Discrete Mathematics. — 2014. — Vol. 17, № 2. — С. 248–255. — Бібліогр.: 9 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine