Two generator discrete free products

DOI10.1007/BF01110724zbMath0221.20064MaRDI QIDQ2547284

Norman Purzitsky

Publication date: 1972

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/171733

Mathematics Subject Classification ID

Fuchsian groups and their generalizations (group-theoretic aspects) (20H10)

Related Items (26)

Groups generated by two elliptic elements in \(\text{PU}(2,1)\). ⋮ On free group generated by two Heisenberg translations ⋮ Matrix representation for the braid group \(B_4\) ⋮ A sufficiently complicated noded Schottky group of rank three ⋮ Free products of two real cyclic matrix groups ⋮ On Marden's universal constant of Fuchsian groups ⋮ The non-Euclidean Euclidean algorithm ⋮ The classification of discrete 2-generator subgroups of PSL(2,R) ⋮ The constructive membership problem for discrete two-generator subgroups of \(\operatorname{SL}_2(\mathbb{R})\) ⋮ Riemann surfaces ⋮ Linear groups ⋮ All two generator Fuchsian groups ⋮ Free products of cyclic subgroups in the group \(\text{PSL}_2(\mathbb{C})\) ⋮ Eine Analytische Kennzeichnung einer Klasse Diskreter Gruppen und Ihrer Riemannschen Flächen ⋮ Parametrizations of Teichmüller spaces by trace functions and action of mapping class groups ⋮ Discrete free products of two complex cyclic matrix groups ⋮ Discrete and free two-generated subgroups of \(SL_2\) over non-Archimedean local fields ⋮ A geometric approach to Jørgensen's inequality ⋮ Roots and rational powers in \(\mathrm{PSL}(2,\mathbb {R})\) and discreteness ⋮ Real two-dimensional representations of two generator free groups ⋮ Two generator Fuchsian groups of genus one ⋮ Automorphismen und Erzeugende für Gruppen mit einer definierenden Relation ⋮ Eine Bemerkung zu den Triangel-Gruppen ⋮ Parametrizations of some Teichmüller spaces by trace functions ⋮ All generating pairs of all two-generator Fuchsian groups ⋮ The constructive membership problem for discrete free subgroups of rank 2 of

Cites Work

• Über einige Ungleichungen bei Bewegungsgruppen in der nichteuklidischen Ebene
• Pairs of matrices generating discrete free groups and free products
• Pairs of real 2-by-2 matrices that generate free products
• Doubly generated Fuchsian groups
• Real Two-Dimensional Representations of the Modular Group and Related Groups
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