Normal forms of generating pairs for Fuchsian and related groups (Q1598174)
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scientific article; zbMATH DE number 1747305
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Normal forms of generating pairs for Fuchsian and related groups |
scientific article; zbMATH DE number 1747305 |
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Normal forms of generating pairs for Fuchsian and related groups (English)
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29 May 2002
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It is worth and very helpful to understand the set of all generating pairs of a two-generator group \(G\) via Nielsen equivalence classes and the action of \(\text{GL}(2,\mathbb{Z})\) on the set of conjugacy classes of generating pairs. Here this is done for \(G\) a non-triangular Fuchsian group or a group of the type \(\langle a,b\mid a^p=b^q\rangle\).
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generating pairs
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two-generator groups
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Nielsen equivalence
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conjugacy classes
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Fuchsian groups
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