TL;DR
This paper clarifies that the lamplighter group can be represented as a 2-state Mealy machine, providing a specific automaton-based realization of this algebraic structure.
Contribution
It demonstrates a minimal 2-state Mealy machine representation for the lamplighter group, clarifying its automaton-based structure.
Findings
Lamplighter group can be realized as a 2-state Mealy machine
Provides explicit automaton representation of the group
Clarifies the automaton structure of the lamplighter group
Abstract
We are following [4]. Nevertheless we are interested only in claryfication that the lamplighter group can be realized as a 2--states Mealy machine.
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Taxonomy
TopicsQuantum and Classical Electrodynamics · Quantum chaos and dynamical systems · Origins and Evolution of Life