K1-theory and the congruence problem

Leonid N. Vaserstein

doi:10.1007/BF01098314

K₁-theory and the congruence problem

Leonid N. Vaserstein

Mathematics

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2 Scopus citations

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 language	English (US)
Pages (from-to)	141-148
Number of pages	8
Journal	Mathematical Notes of the Academy of Sciences of the USSR
Volume	5
Issue number	2
DOIs	https://doi.org/10.1007/BF01098314
State	Published - Feb 1 1969

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1007/BF01098314

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title = "K1-theory and the congruence problem",

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.",

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AU - Vaserstein, Leonid N.

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AB - 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.

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JO - Mathematical Notes of the Academy of Sciences of the USSR

JF - Mathematical Notes of the Academy of Sciences of the USSR

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K₁-theory and the congruence problem

Abstract

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