We construct a bireversible self-dual automaton with 3 states over an alphabet with 3 letters which generates the lamplighter group Z3 ≀ Z. 2010 ...
Feb 27, 2015 · Abstract:We construct a bireversible self-dual automaton with 3 states over an alphabet with 3 letters which generates the lamplighter group ...
Missing: ℤ3 | Show results with:ℤ3
Feb 27, 2015 · Groups generated by automata (or automaton groups) are interesting from several points of view. First of all, automaton groups provide ...
Missing: wr | Show results with:wr
May 19, 2015 · We construct a bireversible self-dual automaton with $3$ states over an alphabet with $3$ letters which generates the lamplighter group $\mathbb ...
Missing: ℤ3 | Show results with:ℤ3
We construct a bireversible self-dual automaton with 3 states over an alphabet with 3 letters which generates the lamplighter group Z3 ≀ Z. 2010 ...
We construct a 4-state 2-letter bireversible automaton generating the lamplighter group $(\mathbb Z_2^2)\wr\mathbb Z$ of rank two. The action of the ...
Oct 10, 2024 · 2012, arXiv: Group Theory. The Lamplighter Group ℤ3≀ℤ Generated by a Bireversible Automaton. I. Bondarenko, D. D'Angeli, E. Rodaro. 2016 ...
Rodaro, The lamplighter group ℤ3 ≀ ℤ generated by a bireversible automaton,. Comm. Algebra 44 (2016), no. 12, 5257–5268. 2. D. Francoeur and I. Mitrofanov ...
Missing: wr | Show results with:wr
Self-similar groups (groups generated by automata) appeared in early eighties as interesting examples. It was discovered that very simple automata generate.
Abstract. We construct a 4-state 2-letter bireversible automaton generating the lamplighter group $(\mathbb Z_2^2)\wr\mathbb Z$ of rank two.
Missing: ℤ3 | Show results with:ℤ3