Combinatoire des Sous-Groupes de Congruence du Groupe Modulaire II
Flavien Mabilat (LMR)

TL;DR
This paper explores the combinatorics of congruence subgroups of the modular group, focusing on matrix equations related to Coxeter friezes, and introduces new concepts like minimal dynomial solutions.
Contribution
It provides new properties of minimal monomial solutions and introduces the notion of minimal dynomial solutions, advancing the understanding of their irreducibility.
Findings
New properties for minimal monomial solutions
Introduction of minimal dynomial solutions
Analysis of irreducibility in solutions
Abstract
In this paper, we study combinatorics of congruence subgroups of the modular group. More precisely, we consider the matrix equation that naturally arises in the theory of Coxeter friezes and investigate its irreducible solutions. We give new properties for minimal monomial solutions. Furthermore, we introduce the notion of minimal dynomial solutions and study their irreducibility.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Combinatorial Mathematics · Algebraic structures and combinatorial models · Advanced Mathematical Identities
