On the first row map $GL_{d+1}(R)\longrightarrow \frac{Um_{d+1}(R)}{E_{d+1}(R)}$

preprint2021arXivOpen access

In this paper, we prove that there is group homomorphism from general linear group over a polynomial extension of a local ring to the W. van der Kallen group.

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On the first row map $GL_{d+1}(R)\longrightarrow \frac{Um_{d+1}(R)}{E_{d+1}(R)}$

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On the first row map GLd+1(R)⟶Umd+1(R)Ed+1(R)GL_{d+1}(R)\longrightarrow \frac{Um_{d+1}(R)}{E_{d+1}(R)}GLd+1​(R)⟶Ed+1​(R)Umd+1​(R)​

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On the first row map $GL_{d+1}(R)\longrightarrow \frac{Um_{d+1}(R)}{E_{d+1}(R)}$