论文标题

solutions monomiales minimalesinréductiblesdans $ sl_ {2}(\ mathbb {z}/p^{n} \ mathbb {z})$

Solutions monomiales minimales irréductibles dans $SL_{2}(\mathbb{Z}/p^{n}\mathbb{Z})$

论文作者

Mabilat, Flavien

论文摘要

在本文中,我们研究了模块化组的一致性亚组的组合。更确切地说,我们考虑了最小单溶液的概念。这些是矩阵方程式的解决方案(也出现在Coxeter Friezes的研究中),Modulo a integer $ n $,其组件的组件相同且最少。这里的目的是表征这种类型的解决方案,以验证不可约性模型的属性。

In this article, we study the combinatorics of congruence subgroups of the modular group. More precisely, we consider the notion of minimal monomial solutions. These are the solutions of a matrix equation (also appearing in the study of Coxeter friezes), modulo an integer $N$, whose components are identical and minimal for this property. The objective here is to characterize the solutions of this type verifying a property of irreducibility modulo a prime power.

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