Colourings of Cyclotomic Integers with Class Number One

• Main Authors: De Las Peñas, Ma. Louise Antonette N, Bugarin, Enrico Paolo, Frettlöh, Dirk
• Format: text
• Published: Archīum Ateneo 2011
• Subjects: colour symmetry; ideal colourings; Bravais colourings; cyclotomic integers; non-periodic structures; Mathematics
• Online Access: https://archium.ateneo.edu/mathematics-faculty-pubs/101; https://www.tandfonline.com/doi/full/10.1080/14786435.2010.525544?casa_token=1alIuJcN-RkAAAAA%3AlHYMwPGc-9nsmtmCpaiyGthvcSrviHmj_-93u39tr8hsw3lECq3Um5qLC29PmBt26WydUq5LH-thCQ
• Institution: Ateneo De Manila University

This paper continues the study of colourings of the sets of cyclotomic integers ℳ n = ℤ[ξ n ] (ξ n = e 2πi/n , a primitive nth root of unity) with class number one. We present results for the colour symmetry group and colour preserving group for a given ideal colouring of ℳ n , with φ(n) = 8 and 1...