Publicacions Matemàtiques

Conjugacy in Houghton's groups

Y. Antolín, J. Burillo, and A. Martino

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Abstract

Let $n\in {\mathbb N}$. Houghton's group $H_n$ is the group of permutations of $\{1,\dotsc, n\}\times {\mathbb N}$, that eventually act as a translation in each copy of ${\mathbb N}$. We prove the solvability of the conjugacy problem and conjugator search problem for $H_n$, $n\geq 2$.

Article information

Source
Publ. Mat., Volume 59, Number 1 (2015), 3-16.

Dates
First available in Project Euclid: 21 January 2015

Permanent link to this document
https://projecteuclid.org/euclid.pm/1421861990

Mathematical Reviews number (MathSciNet)
MR3302573

Zentralblatt MATH identifier
1332.20035

Subjects
Primary: 20F10: Word problems, other decision problems, connections with logic and automata [See also 03B25, 03D05, 03D40, 06B25, 08A50, 20M05, 68Q70] 20B99: None of the above, but in this section

Keywords
Houghton group permutation groups conjugacy problem

Citation

Antolín, Y.; Burillo, J.; Martino, A. Conjugacy in Houghton's groups. Publ. Mat. 59 (2015), no. 1, 3--16. https://projecteuclid.org/euclid.pm/1421861990


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