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
主題:	Geometry and Topology Mathematics
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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機構:	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

The lamplighter group L(h)n

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