Is SL(n,Z[x]) generated by E(n,Z[x])transvections?

Is SL(n,Z[x]) generated by E(n,Z[x])$\mathrm{SL}(n,\mathbb{Z}[x])$ equal to $E(n,\mathbb{Z}[x])$, the groupsubgroup generated by transvections?

Post Reopened by Stefan Kohl♦, Steven Landsburg, Alain Valette, András Bátkai, Qiaochu Yuan

occurred Sep 24, 2015 at 20:18

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edited Sep 24, 2015 at 20:12

Is GLSL(n,Z[x]) generated by E(n,Z[x]), the group generated by transvections?

Post Closed as "Not suitable for this site" by Venkataramana, Derek Holt, Joonas Ilmavirta, Fernando Muro, YCor

occurred Sep 24, 2015 at 13:22

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asked Sep 24, 2015 at 7:59

Is SL(n,Z[x]) generated by E(n,Z[x])?

Is GL(n,Z[x]) generated by E(n,Z[x]), the group generated by transvections?

matrix-theory