Research output: Contribution to journal › Article › peer-review
Van der Kallen proved that the elementary group En(C[x]) does not have bounded word length with respect to the set of all elementary transvections. Later, Dennis and Vaserstein showed that the same is true, even with respect to the set of all commutators. The natural question is: Does the set of all commutators in En,(R) have bounded word length with all elementary transvections as generators? The article provides a positive answer over a finite-dimensional commutative ring R.
Original language | English |
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Pages (from-to) | 295-302 |
Number of pages | 8 |
Journal | K-Theory |
Volume | 17 |
Issue number | 4 |
DOIs | |
State | Published - 1 Jan 1999 |
ID: 49794212