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Timeline for A question on $SK_1$ of rings

Current License: CC BY-SA 4.0

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Sep 15, 2020 at 4:43 comment added nikhilesh dasgupta Thank you sir very much for the clarification.
Sep 14, 2020 at 8:30 comment added Wilberd van der Kallen You can multiply with a diagonal matrix that is congruent to the identity and get the determinant equal to one.
Sep 14, 2020 at 7:04 vote accept nikhilesh dasgupta
Sep 14, 2020 at 7:04 comment added nikhilesh dasgupta Thank you sir for the response. It is clear to me that the map $SK_1(B) \rightarrow SK_1(B_{red})$ is injective. But why that map is {\bf surjective } ? I understand the preimage of a determinant 1 matrix is invertible. But why the preimage has determinant 1 is not what is clear to me.
Sep 14, 2020 at 4:14 history edited Steven Landsburg CC BY-SA 4.0
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Sep 13, 2020 at 17:07 history edited Steven Landsburg CC BY-SA 4.0
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Sep 13, 2020 at 14:48 history answered Steven Landsburg CC BY-SA 4.0