The word problem in Hanoi Towers groups

被引：0

作者：

Bondarenko, Ievgen ^{[1
]}

机构：

[1] Natl Tams Shevchenko Univ Kyiv, Mech & Math Fac, Dept Algebra & Math Log, Vul Volodymyrska 64, UA-11033 Kiev, Ukraine

来源：

ALGEBRA & DISCRETE MATHEMATICS | 2014年 / 17卷 / 02期

关键词：

the Tower of Hanoi game; automaton group; word problem; complexity;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that the elements of the Hanoi Towers groups H-m, have depth bounded from above by a poly-logarithmic function 0(log(m-2) n), where a is the length or an element. Therefore the word problem in groups H-m is solvable in subexponential tirne exp(O(log(m-2)n)).

引用

页码：248 / 255

页数：8

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