Colourings of Cyclotomic Integers with Class Number One
Document Type
Article
Publication Date
2011
Abstract
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 10, thus completing the characterisation of the colour preserving group for the cases φ(n) ≤ 10, where φ is Euler's totient function.
Recommended Citation
De Las Peñas, Ma. Louise Antonette N.; Bugarin, Enrico Paolo; and Frettlöh, Dirk, (2011). Colourings of Cyclotomic Integers with Class Number One. Archīum.ATENEO.
https://archium.ateneo.edu/mathematics-faculty-pubs/101