7 papers
The low dimensional homology groups of the elementary group of degree two
Behrooz Mirzaii, Elvis Torres Pérez
In this article we study the first, the second and the third homology groups of the elementary group , where is a commutative ring. In particular, we prove a r…
The second integral homology of
Behrooz Mirzaii, Bruno Reis Ramos, Thiago Verissimo
In this article, we explore the second integral homology, or Schur multiplier, of the special linear group for a positive integer . We definitively…
Abelianization of over Dedekind domains of arithmetic type
Behrooz Mirzaii, Bruno R. Ramos, Thiago Verissimo
We determine the exact group structure of the abelianization of , where is a Dedekind domain of arithmetic type with infinitely many units. In particular, our r…
Schur multiplier of over finite commutative rings
Behrooz Mirzaii, Abraham Rojas Vega
In this article, we investigate the Schur multiplier of the special linear group over finite commutative local rings . We prove that the Schur multiplier of t…
The third homology of projective special linear group of degree two
Behrooz Mirzaii, Elvis Torres Pérez
In this paper we investigate the third homology of the projective special linear group . As a result of our investigation we prove a projective refined Bloch-Wigner…
The low dimensional homology of projective linear group of rank two
Behrooz Mirzaii, Elvis Torres Pérez
In this article we study the low dimensional homology of the projective linear group over a commutative ring . In particular, we prove a Bloch-Wigner type ex…