K1-theory and the congruence problem

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Abstract

The following results are presented: a) A K1-functor of a noncommutative ring with unity is a factor of a general linear group with respect to the subgroup of elementary matrices; b) a description is given of all the subgroups of finite index in a special linear group over the order in a field.

Original languageEnglish (US)
Pages (from-to)141-148
Number of pages8
JournalMathematical Notes of the Academy of Sciences of the USSR
Volume5
Issue number2
DOIs
StatePublished - Feb 1 1969

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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