On bounded elementary generation for SL n over polynomial rings
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Let F[X] be the polynomial ring over a finite field F. It is shown that, for n ≥ 3, the special linear group SL n (F[X]) is boundedly generated by the elementary matrices.
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- W. van der Kallen, SL3(C[X]) does not have bounded word length, in Algebraic Ktheory, Part I (Oberwolfach, 1980), Lecture Notes in Mathematics, Vol. 966, Springer, Berlin–New York, 1982, pp. 357–361.Google Scholar
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