The third homology of projective special linear group of degree two
K-Theory and Homology
2025-03-19 v2
Abstract
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 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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Cite
@article{arxiv.2401.04341,
title = {The third homology of projective special linear group of degree two},
author = {Behrooz Mirzaii and Elvis Torres Pérez},
journal= {arXiv preprint arXiv:2401.04341},
year = {2025}
}
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31 pages