Solutions monomiales minimales irréductibles dans $S{L}_2(\mathbb{Z}/p^n\mathbb{Z})$

Abstract

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.

in French language à paraître dans le Bulletin des Sciences Mathématiques. arXiv admin note: text overlap with arXiv:2112.10410, arXiv:2105.11719

Cited by in corpus (1)

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