Autor:	Bugarin, E. P., Peñas, M. L. A. N. de las, Frettlöh, D.
Rok vydání:	2009
Předmět:	Mathematics - Group Theory Mathematics - Combinatorics 13F10 11R18
Druh dokumentu:	Working Paper
Popis:	Perfect colourings of the rings of cyclotomic integers with class number one are studied. It is shown that all colourings induced by ideals (q) are chirally perfect, and vice versa. A necessary and sufficient condition for a colouring to be perfect is obtained, depending on the factorisation of q. This result yields the colour symmetry group H in general. Furthermore, the colour preserving group K is determined in all but finitely many cases. An application to colourings of quasicrystals is given. Comment: 11 pages, 1 bw figure, 1 colour figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0905.4048 Zobrazit plný text záznamu View this record from Arxiv