On the connections between the low dimensional homology groups of SL2 and PSL2

Mirzaii B.; Pérez E.T. · Communications in Algebra (2025) · DOI: 10.1080/00927872.2025.2499703

Resumen

In this article we study the low dimensional homology groups of the special linear group (Formula presented.) and the projective special linear group (Formula presented.), A a domain, through the natural surjective map (Formula presented.). In particular, we study the connection of the first, the second, and the third homology groups of these groups over euclidean domains (Formula presented.), m a square free integer, and local domains.

Instituciones: Universidad Nacional de Ingeniería