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Subgroups of SL2ℤ generated by elementary matrices
Published online by Cambridge University Press: 14 November 2011
Synopsis
An elementary matrix has ones down the main diagonal and at most one element off the diagonal that differs from zero. We study the subgroups of SL2ℤ generated by sets of elementary matrices. Specifically, we give a stringent condition that the entries of a matrix belonging to such a group must satisfy.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 88 , Issue 1-2 , 1981 , pp. 43 - 47
- Copyright
- Copyright © Royal Society of Edinburgh 1981
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