The third homology of projective special linear group of degree two

Mirzaii B.; Torres Pérez E. · Journal of Pure and Applied Algebra (2025) · DOI: 10.1016/j.jpaa.2025.107965

Resumen

In this paper we investigate the third homology of the projective special linear group PSL2(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 applications in algebra, number theory and geometry.

Instituciones: Universidad Nacional de Ingeniería