The lamplighter group L(h)n
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, Mark Camilo C. and De Las Peñas, Ma. Louise Antonette N., (2016). The lamplighter group L(h)n. Archīum.ATENEO.
https://archium.ateneo.edu/mathematics-faculty-pubs/24