Bruno R. Ramos

collaborators

3 papers

math.KT2026

On the abelianization of congruence subgroups of $SL_{2}$ over $S$ -integers

Pedro H. Amorim, Isadora V. Picinini, Bruno R. Ramos +1

In this work, we compute the first integral homology, or abelianization, of the congruence subgroups $Γ (A, m_{A}), Γ_{1} (A, m_{A})$ , and $Γ_{0} (A, m_{A})$ fo…

math.NT2025

Abelianization of $SL_{2}$ over Dedekind domains of arithmetic type

Behrooz Mirzaii, Bruno R. Ramos, Thiago Verissimo

We determine the exact group structure of the abelianization of $SL_{2} (A)$ , where $A$ is a Dedekind domain of arithmetic type with infinitely many units. In particular, our r…

math.KT2025

The second integral homology of $SL_{2} (Z [1/ n])$

Behrooz Mirzaii, Bruno Reis Ramos, Thiago Verissimo

In this article, we explore the second integral homology, or Schur multiplier, of the special linear group $SL_{2} (Z [1/ n])$ for a positive integer $n$ . We definitively…

On the abelianization of congruence subgroups of SL2​ over S-integers

Abelianization of SL2​ over Dedekind domains of arithmetic type

The second integral homology of SL2​(Z[1/n])

On the abelianization of congruence subgroups of $SL_{2}$ over $S$ -integers

Abelianization of $SL_{2}$ over Dedekind domains of arithmetic type

The second integral homology of $SL_{2} (Z [1/ n])$