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20012025
most citedThe abelianization of the elementary group of rank two

2 citations · 7 across the 25 of their papers we have counts for

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27 papers

math.KT2025

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…

math.NT2025

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…

math.KT2025

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…

math.KT2024

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…

math.KT2024

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…

math.KT2024

On the connections between the low dimensional homology groups of and

Behrooz Mirzaii, Elvis Torres Pérez

In this article we study the low dimensional homology groups of the special linear group and the projective special linear group , a domai…