Euler cycles and Mennicke symbols
Mrinal Kanti Das, Soumi Tikader, Md. Ali Zinna

TL;DR
This paper explores the relationship between Euler class groups and unimodular rows over smooth affine domains, establishing a morphism that links algebraic K-theory and unimodular row orbits.
Contribution
It introduces a new morphism from the Euler class group to the group of elementary orbits of unimodular rows, connecting two important algebraic structures.
Findings
Established a morphism from Euler class group to unimodular row orbits.
Connected algebraic K-theory with properties of unimodular rows.
Provided new insights into the structure of smooth affine domains.
Abstract
Let be a smooth affine domain of dimension over an infinite perfect field . We establish a morphism from the Euler class group to , the group of elementary orbits of unimodular rows.
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Taxonomy
Topicsgraph theory and CDMA systems · Coding theory and cryptography · Advanced Topics in Algebra
