Subgroups of the elementary and Steinberg groups of congruence level I2 Academic Article uri icon

abstract

  • There are several subgroups of the Elementary group E(B, I) and of the Steinberg group St(B, I) which lie at the congruence level I2. We describe their interrelationships and give examples to show that they can be distinct. Our main result is that, although the group E(B, I) depends on the choice of the ambient ring B, its commutator subgroup does not. In fact, the commutator subgroup is the intersection of Gl(I2) with E(ZI, I). 1985.

published proceedings

  • Journal of Pure and Applied Algebra

author list (cited authors)

  • Geller, S. C., & Weibel, C. A.

citation count

  • 4

complete list of authors

  • Geller, Susan C||Weibel, Charles A

publication date

  • January 1985