The lamplighter group L(h)n

• المؤلفون الرئيسيون: Mamaril, Mark Camilo C, De Las Peñas, Ma. Louise Antonette N
• التنسيق: text
• منشور في: Archīum Ateneo 2016
• الموضوعات: Geometry and Topology; Mathematics
• الوصول للمادة أونلاين: https://archium.ateneo.edu/mathematics-faculty-pubs/24; https://aip.scitation.org/doi/abs/10.1063/1.4940812
• المؤسسة: Ateneo De Manila University

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.