Subgroups of the elementary and Steinberg groups of congruence level I2

Susan C. Geller, Charles Weibel

Research output: Contribution to journalArticle

4 Scopus citations

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(Z⊕I, I).

Original languageEnglish (US)
Pages (from-to)123-132
Number of pages10
JournalJournal of Pure and Applied Algebra
Volume35
Issue numberC
DOIs
StatePublished - Jan 1 1985

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Keywords

  • Elementary group
  • algebraic K-theory
  • congruence level subgroup
  • relative Steinberg groups

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