The lamplighter group L(h)n

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 e...

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Main Authors: Mamaril, Mark Camilo C, De Las Peñas, Ma. Louise Antonette N
格式: text
出版: Archīum Ateneo 2016
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在線閱讀:https://archium.ateneo.edu/mathematics-faculty-pubs/24
https://aip.scitation.org/doi/abs/10.1063/1.4940812
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總結: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.