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: | , |
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| Format: | text |
| Published: |
Archīum Ateneo
2016
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| Subjects: | |
| Online Access: | https://archium.ateneo.edu/mathematics-faculty-pubs/24 https://aip.scitation.org/doi/abs/10.1063/1.4940812 |
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| Institution: | Ateneo De Manila University |
| Summary: | 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. |
|---|