When are two elements of \(GL(2,\mathbb{Z}{})\) similar? (Q1177253)
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scientific article; zbMATH DE number 20137
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | When are two elements of \(GL(2,\mathbb{Z}{})\) similar? |
scientific article; zbMATH DE number 20137 |
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When are two elements of \(GL(2,\mathbb{Z}{})\) similar? (English)
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26 June 1992
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The authors outline an algorithm for determining when a pair of matrices in \(GL(2,\mathbb{Z})\) are conjugate. Their algorithm is based on the fact that \(PSL(2,\mathbb{Z})\) is the free product of a pair of cyclic groups, one of order 2 and the other of order 3.
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conjugacy
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modular group
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algorithm
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pair of matrices
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free product
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