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Subgroups of SL2ℤ generated by elementary matrices

Published online by Cambridge University Press:  14 November 2011

Randy Tuler
Randy Tuler
Affiliation:
Department of Mathematics, University of Georgia, Athens, Georgia 30602, U.S.A.
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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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