论文标题
$λ$ -Quiddit {é} SUR确定sous-groupes monog {è} nes de $ \ mathbb {c} $
$λ$-quiddit{é} sur certains sous-groupes monog{è}nes de $\mathbb{C}$
论文作者
论文摘要
在研究Coxeter的Friezes时,M。Cuntz定义了$λ$ - Quiddities的概念,并给了他们在某些$ \ Mathbb {C} $的子集上研究它们的问题。本文的目的是在某些环($ \ Mathbb {C},+$)的某些环状亚组中进行这项研究。特别是我们将研究由$ \ sqrt {k} $和$ i \ sqrt {k} $生成的环状亚组的情况,并带有$ k \ in \ mathbb {n} $。
During the study of Coxeter's friezes, M. Cuntz defined the concept of $λ$-quiddities and gave the problem of studying them over some subsets of $\mathbb{C}$. The objective of this text is to carry out this study in the case of some cyclic subgroups of ($\mathbb{C},+$). In particular we will study the case of the cyclic subgroups generated by $\sqrt{k}$ and $i\sqrt{k}$, with $k \in \mathbb{N}$.