On free subgroups of generalized triangle groups

DOI10.1007/BF01979378zbMath0694.20016OpenAlexW1987096787MaRDI QIDQ909030

Gerhard Rosenberger

Publication date: 1989

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/187468

zbMATH Keywords

free productsfree subgroupscyclically reduced wordsTits alternativesolvable subgroups of finite indexsubgroups of \(\text{PSL}_2(\mathbb{C})\)

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Related Items

Geometric orbifolds with torsion free derived subgroup, Unnamed Item, Free subgroups in groups of small deficiency, Free subgroups in certain generalized triangle groups of type \((2,m,2)\)., Finite Generalized Triangle Groups, The Tits alternative for generalized tetrahedron groups

Cites Work

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• Free subgroups and decompositions of one-relator products of cyclics. I: The Tits alternative
• Heegaard splittings of Seifert fibered spaces
• Über Diskretheitsbedingungen und die diophantische Gleichung \(ax^ 2+by^ 2+cz^ 2=dxyz\)
• Surfaces and planar discontinuous groups. Revised and expanded transl. from the German by J. Stillwell
• Free subgroups in linear groups
• Generalized triangle groups
• THREE-RELATOR QUOTIENTS OF THE MODULAR GROUP
• One-Relator Quotients and Free Products of Cyclics
• Solvable-by-finite subgroups of GL(2, F)