K_1$-groups via binary complexes of fixed length

Homology Homotopy Appl. 22 (2020), no. 1, 203-213 We modify Grayson's model of $K_1$ of an exact category to give a presentation whose generators are binary acyclic complexes of length at most $k$ for any given $k \ge 2$. As a corollary, we obtain another, very short proof of the identification...

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Bibliographic Details
Main Authors Kasprowski, Daniel, Köck, Bernhard, Winges, Christoph
Format Journal Article
LanguageEnglish
Published 27.11.2018
Subjects
Mathematics - K-Theory and Homology
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Summary:Homology Homotopy Appl. 22 (2020), no. 1, 203-213 We modify Grayson's model of $K_1$ of an exact category to give a presentation whose generators are binary acyclic complexes of length at most $k$ for any given $k \ge 2$. As a corollary, we obtain another, very short proof of the identification of Nenashev's and Grayson's presentations.
DOI:10.48550/arxiv.1811.10954