English

A refined Bloch-Wigner exact sequence in characteristic 2

K-Theory and Homology 2023-04-18 v1

Abstract

Let AA be a local domain of characteristic 22 such that its residue field has more than 6464 elements. Then we find an exact relation between the third integral homology of the group SL2(A)\mathrm{SL}_2(A) and Hutchinson's refined Bloch group RB(A)\mathcal{RB}(A).

Cite

@article{arxiv.2304.07443,
  title  = {A refined Bloch-Wigner exact sequence in characteristic 2},
  author = {Behrooz Mirzaii and Elvis Torres Pérez},
  journal= {arXiv preprint arXiv:2304.07443},
  year   = {2023}
}

Comments

15 pages

R2 v1 2026-06-28T10:06:44.274Z