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Selected Works of Ma. Louise Antonette De Las Peñas
Article
The lamplighter group L(h)n
Mathematics Faculty Publications
  • Mark Camilo C Mamaril
  • Ma. Louise Antonette N De Las Peñas, Ateneo de Manila University
Link
Document Type
Conference Proceeding
Publication Date
1-1-2016
Disciplines
Abstract

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.

Citation Information
Mamaril, M. C. C., & De Las Peñas, M. L. A. N. (2016, February). The lamplighter group L n (h). In AIP Conference Proceedings (Vol. 1707, No. 1, p. 020011). AIP Publishing LLC.