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arXiv · 2401.04341

The third homology of projective special linear group of degree two

Behrooz Mirzaii·Elvis Torres Pérez
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Abstract

In this paper we investigate the third homology of the projective special linear group ${\rm PSL}_2(A)$. As a result of our investigation we prove a projective refined Bloch-Wigner exact sequence over certain class of rings. The projective Bloch-Wigner exact sequence over an algebraically closed field of characteristic zero is a classical result and has many application in algebra, number theory and geometry.

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Behrooz Mirzaii, Elvis Torres Pérez. 2024-01-09. The third homology of projective special linear group of degree two. https://arxiv.org/abs/2401.04341

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