DOI

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 languageEnglish
Pages (from-to)295-302
Number of pages8
JournalK-Theory
Volume17
Issue number4
DOIs
StatePublished - 1 Jan 1999

    Scopus subject areas

  • Mathematics(all)

    Research areas

  • Dimension of maximal spectrum of a ring, Elementary subgroup, General linear group, Word length

ID: 49794212