The lamplighter group L(h)n

Authors

Mark Camilo C. Mamaril
Ma. Louise Antonette N. De Las Peñas, Ateneo de Manila UniversityFollow

Document Type

Conference Proceeding

Publication Date

2016

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.

Recommended Citation

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.