Colourings of Cyclotomic Integers with Class Number One

Colourings of Cyclotomic Integers with Class Number One

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...

Full description

Saved in:
Bibliographic Details
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
Tags: Add Tag
No Tags, Be the first to tag this record!
Institution: Ateneo De Manila University
Description
Summary: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.

Similar Items