2 citations · 2 across the 6 of their papers we have counts for
6 papers
Remarks on refined scissors congruence group and the third homology of
Elvis Torres Pérez
This work revisits the key sufficient conditions on a ring that guarantee the existence of the exact sequence \[ H_3(\mathrm{SM}_2(A), \mathbb{Z})\to H_3(\mathrm{SL}_2(A), \mat…
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…
The abelianization of the elementary group of rank two
Behrooz Mirzaii, Elvis Torres Pérez
For an arbitrary ring , we study the abelianization of the elementary group . In particular, we show that for a commutative ring there exists an exact seque…
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…
A Refined scissors congruence group and the third homology of
Behrooz Mirzaii, Elvis Torres Pérez
There is a natural connection between the third homology of and the refined Bloch group of a commutative ring . In this article we investiga…
A refined Bloch-Wigner exact sequence in characteristic 2
Behrooz Mirzaii, Elvis Torres Pérez
Let be a local domain of characteristic such that its residue field has more than elements. Then we find an exact relation between the third integral homology of the g…