Über Diskretheitsbedingungen und die diophantische Gleichung \(ax^ 2+by^ 2+cz^ 2=dxyz\)

DOI10.1007/BF01224987zbMath0432.20044OpenAlexW2911681732MaRDI QIDQ1138647

Gabriele Kern-Isberner, Gerhard Rosenberger

Publication date: 1980

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01224987

zbMATH Keywords

discrete subgroupstrace formulasNielsen transformationsNielsen-equivalent classes of generators

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Structure of modular groups and generalizations; arithmetic groups (11F06) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Linear Diophantine equations (11D04)

Related Items

On the generalized Hurwitz equation and the Baragar-Umeda equation, The equation \(ax^2+by^2+cz^2=dxyz\) over quadratic imaginary fields, On free subgroups of generalized triangle groups, The modular group action on real \(SL(2)\)-characters of a one-holed torus, The constructive membership problem for discrete two-generator subgroups of \(\operatorname{SL}_2(\mathbb{R})\), Einige Bemerkungen über Untergruppen der \(\mathrm{PSL}(2, \mathbb C)\), The constructive membership problem for discrete free subgroups of rank 2 of

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