On the group sl2 over dedekind rings of arithmetic type

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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.

Original languageEnglish (US)
Pages (from-to)321-332
Number of pages12
JournalMathematics of the USSR - Sbornik
Volume18
Issue number2
DOIs
StatePublished - Feb 28 1972

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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