Elvis Torres Pérez

collaborators

2 papers

math.KT2025

The low dimensional homology groups of the elementary group of degree two

Behrooz Mirzaii, Elvis Torres PÃ©rez

In this article we study the first, the second and the third homology groups of the elementary group $E_{2} (A)$ , where $A$ is a commutative ring. In particular, we prove a r…

math.KT2024

On the connections between the low dimensional homology groups of $SL_{2}$ and $PSL_{2}$

In this article we study the low dimensional homology groups of the special linear group $SL_{2} (A)$ and the projective special linear group $PSL_{2} (A)$ , $A$ a domai…

The low dimensional homology groups of the elementary group of degree two

On the connections between the low dimensional homology groups of SL2​ and PSL2​

On the connections between the low dimensional homology groups of $SL_{2}$ and $PSL_{2}$