论文标题

$λ$ - Quiddity和子组由代数编号生成

$λ$-quiddity and subgroups generated by an algebraic number

论文作者

Mabilat, Flavien

论文摘要

M. Cuntz在致力于Coxeter的Friezes的工作中开始了对$λ$ - Quiddity概念的研究,并提出了研究的问题,而不是$ \ Mathbb {C} $的某些子集。本文的目的是在某些循环子组($ \ mathbb {c},+$)的某些循环子组中带来一些新的响应元素。特别是,我们将研究由$ a+b \ sqrt {k} $生成的子组的案例。

During his work devoted to Coxeter's friezes, M. Cuntz initiated the study of the notion of $λ$-quiddity and raised the problem of the study of this over some subsets of $\mathbb{C}$. The objective of this text is to bring some new elements of response in the case of some cyclic subgroups of ($\mathbb{C},+$) generated by an algebraic number. In particular, we will study the cases of subgroups generated by $a+b\sqrt{k}$.

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