$K_1$-groups via binary complexes of fixed length
K-Theory and Homology
2020-01-22 v2
Abstract
We modify Grayson's model of of an exact category to give a presentation whose generators are binary acyclic complexes of length at most for any given . As a corollary, we obtain another, very short proof of the identification of Nenashev's and Grayson's presentations.
Keywords
Cite
@article{arxiv.1811.10954,
title = {$K_1$-groups via binary complexes of fixed length},
author = {Daniel Kasprowski and Bernhard Köck and Christoph Winges},
journal= {arXiv preprint arXiv:1811.10954},
year = {2020}
}
Comments
10 pages, minor changes following a referee report, to appear in HHA