I. V. Picinini

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.KT2026

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

Isadora Vanzella Picinini

Let $Z [1/ n] := {a / n^{r} : a \in Z, r \in Z \geq 0}$ be the euclidean domain obtained from the ring of integers $Z$ by localizing at $n$ . Moreover,…

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…

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

The integral homology of SL2​(Z[1/n])

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

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

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

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