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) |
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Pages (from-to) | 321-332 |
Number of pages | 12 |
Journal | Mathematics of the USSR - Sbornik |
Volume | 18 |
Issue number | 2 |
DOIs | |
State | Published - Feb 28 1972 |
All Science Journal Classification (ASJC) codes
- General Mathematics