On reversible automata generating lamplighter groups
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Publication:6632100
DOI10.1016/J.JALGEBRA.2024.07.043MaRDI QIDQ6632100
Veronika Prokhorchuk, Piotr W. Nowak, Andriy Oliynyk
Publication date: 4 November 2024
Published in: Journal of Algebra (Search for Journal in Brave)
fundamental groupfinite automatonlamplighter groupself-similar actionautomaton groupreversible automatonsquare complex
Extensions, wreath products, and other compositions of groups (20E22) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)
Cites Work
- Title not available (Why is that?)
- Affine automorphisms of rooted trees
- Finite state wreath powers of transformation semigroups.
- Lamplighter groups, bireversible automata, and rational series over finite rings
- On Burnside's problem on periodic groups
- On state-closed representations of restricted wreath product of groups \(G_{p,d}=C_{p}wrC^{d}\)
- Automaton groups and complete square complexes
- Self-similar products of groups
- Generation of amalgamated free products of cyclic groups by finite automata over minimal alphabet
- Automata and square complexes.
- On property (T) for \(\Aut(F_n)\) and \(\mathrm{SL}_n(\mathbb{Z})\)
- On a question of Atiyah
- Commensurators of groups and reversible automata
- Automata, dynamical systems, and groups
- The Lamplighter Group ℤ3≀ℤ Generated by a Bireversible Automaton
- ON A CLASS OF AUTOMATA GROUPS GENERALIZING LAMPLIGHTER GROUPS
- C*-algebras and self-similar groups
- The lamplighter group of rank two generated by a bireversible automaton
- The lamplighter group as a group generated by a 2-state automaton, and its spectrum
- Bireversible automata generating lamplighter groups
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