A refined Bloch-Wigner exact sequence in characteristic 2

2023/04/15 by Mirzaii, Behrooz, Pérez, Elvis Torres
#19D55 #FOS: Mathematics #K-Theory and Homology (math.KT)

paper · doi:10.48550/arxiv.2304.07443

Abstract

Let A be a local domain of characteristic 2 such that its residue field has more than 64 elements. Then we find an exact relation between the third integral homology of the group SL₂(A) and Hutchinson's refined Bloch group RB(A).

Related

• A refined Bloch group and the third homology of SL₂ of a field
• A Bloch-Wigner complex for SL₂
• The low dimensional homology groups of the elementary group of degree two
• Bloch Groups of Rings
• A Bloch-Wigner exact sequence over local rings