The lamplighter group L(h)n

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
Format: text
Published: Archīum Ateneo 2016
Subjects:
Geometry and Topology
Mathematics
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
id ph-ateneo-arc.mathematics-faculty-pubs-1023
record_format eprints
spelling ph-ateneo-arc.mathematics-faculty-pubs-10232020-06-27T02:05:43Z The lamplighter group L(h)n Mamaril, Mark Camilo C De Las Peñas, Ma. Louise Antonette 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 established. 2016-01-01T08:00:00Z text https://archium.ateneo.edu/mathematics-faculty-pubs/24 https://aip.scitation.org/doi/abs/10.1063/1.4940812 Mathematics Faculty Publications Archīum Ateneo Geometry and Topology Mathematics
institution Ateneo De Manila University
building Ateneo De Manila University Library
country Philippines
collection archium.Ateneo Institutional Repository
topic Geometry and Topology
Mathematics
spellingShingle Geometry and Topology
Mathematics
Mamaril, Mark Camilo C
De Las Peñas, Ma. Louise Antonette N
The lamplighter group L(h)n
description 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.
format text
author Mamaril, Mark Camilo C
De Las Peñas, Ma. Louise Antonette N
author_facet Mamaril, Mark Camilo C
De Las Peñas, Ma. Louise Antonette N
author_sort Mamaril, Mark Camilo C
title The lamplighter group L(h)n
title_short The lamplighter group L(h)n
title_full The lamplighter group L(h)n
title_fullStr The lamplighter group L(h)n
title_full_unstemmed The lamplighter group L(h)n
title_sort lamplighter group l(h)n
publisher Archīum Ateneo
publishDate 2016
url https://archium.ateneo.edu/mathematics-faculty-pubs/24
https://aip.scitation.org/doi/abs/10.1063/1.4940812
_version_ 1681506693623578624

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