On the group sl2 over dedekind rings of arithmetic type

L. N. Vasersteïn

doi:10.1070/SM1972v018n02ABEH001775

On the group sl₂ over dedekind rings of arithmetic type

L. N. Vasersteïn

Mathematics

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59 Scopus citations

Abstract

It is proved that the group of matrices of order two with determinant 1 over a Dedekind ring of arithmetic type is generated by elementary matrices if there are infinitely many invertible elements in this ring. We also obtain a more general result, describing the group generated by elementary matrices belonging to a congruence subgroup.Bibliography: 6 items.

Original language	English (US)
Pages (from-to)	321-332
Number of pages	12
Journal	Mathematics of the USSR - Sbornik
Volume	18
Issue number	2
DOIs	https://doi.org/10.1070/SM1972v018n02ABEH001775
State	Published - Feb 28 1972

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1070/SM1972v018n02ABEH001775

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abstract = "It is proved that the group of matrices of order two with determinant 1 over a Dedekind ring of arithmetic type is generated by elementary matrices if there are infinitely many invertible elements in this ring. We also obtain a more general result, describing the group generated by elementary matrices belonging to a congruence subgroup.Bibliography: 6 items.",

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AB - It is proved that the group of matrices of order two with determinant 1 over a Dedekind ring of arithmetic type is generated by elementary matrices if there are infinitely many invertible elements in this ring. We also obtain a more general result, describing the group generated by elementary matrices belonging to a congruence subgroup.Bibliography: 6 items.

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On the group sl₂ over dedekind rings of arithmetic type

Abstract

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