The lamplighter group Ln(h)
Mark Camilo C. Mamaril, Ma. Louise Antonette N. De Las Peñas · AIP conference proceedings · 2016
This paper discusses a finite group associated to a machine called a lamplighter, having n lamps with h settings arranged in a circle around a single lighter. The properties of the group are discussed. Criteria for determining whether group elements are conjugates, commutators or in the center are established.