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One relator quotients of the Hecke group \(H(\sqrt 3)\). - MaRDI portal

One relator quotients of the Hecke group \(H(\sqrt 3)\). (Q2888129)

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scientific article; zbMATH DE number 6039630
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One relator quotients of the Hecke group \(H(\sqrt 3)\).
scientific article; zbMATH DE number 6039630

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    30 May 2012
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    Hecke group
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    one relator quotients
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    cyclically reduced words
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    One relator quotients of the Hecke group \(H(\sqrt 3)\). (English)
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    Let \(H(\lambda_q)\) be the Hecke group generated by the two linear fractional transformations \(T(z)=-\tfrac{1}{z}\) and \(U(z)=z+\lambda_q\), where \(\lambda_q=2\cos\frac{\pi}{q}\) for \(q\geq 3\). In the paper under review, the authors find some one relator quotients of the Hecke group \(H(\lambda_6)=H(\sqrt 3)\).
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