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.

Язык оригиналаанглийский
Страницы (с-по)295-302
Число страниц8
ЖурналK-Theory
Том17
Номер выпуска4
DOI
СостояниеОпубликовано - 1 янв 1999

    Предметные области Scopus

  • Математика (все)

ID: 49794212