T. Verissimo

collaborators

3 papers

math.KT2026

The Schur multiplier of $SL_{2}$ , $K_{2}$ , and Dedekind zeta-functions over $S$ -integers

P. H. Amorim, I. V. Picinini, B. R. Ramos +1

In this paper, we obtain an exact sequence connecting $H_{2} (SL_{2} (O_{K, S}), Z)$ to $H_{2} (SL_{2} (O_{K, T}), Z)$ , where $O_{K, S}$ …

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…

The Schur multiplier of SL2​, K2​, and Dedekind zeta-functions over S-integers

Abelianization of SL2​ over Dedekind domains of arithmetic type

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

The Schur multiplier of $SL_{2}$ , $K_{2}$ , and Dedekind zeta-functions over $S$ -integers

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

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