Abstract
M. Newman asked whether there is an absolute constant c such that every matrix in SLnR is the product of at most c commutators, where R ranges over euclidean commutative rings and n ≥ 3. We give here a negative answer. However, if for the ring R every matrix in SLmR is the product of a bounded number of commutators for some fixed m ≥ 3, then for all sufficiently large n, every matrix in SLnR is the product of six commutators.
Original language | English (US) |
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Pages (from-to) | 150-161 |
Number of pages | 12 |
Journal | Journal of Algebra |
Volume | 118 |
Issue number | 1 |
DOIs | |
State | Published - Oct 1988 |
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory