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arXiv · 1901.00587

On bounded elementary generation for $SL_n$ over polynomial rings

Bogdan Nica
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Abstract

Let $F[X]$ be the polynomial ring over a finite field $F$. It is shown that, for $n\geq 3$, the special linear group $SL_n(F[X])$ is boundedly generated by the elementary matrices.

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Bogdan Nica. 2019-01-03. On bounded elementary generation for $SL_n$ over polynomial rings. https://arxiv.org/abs/1901.00587

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