On Gehring-Martin-Tan groups with an elliptic generator

Repovš, Dušan (author), Vesnin, Andreî Jurʹevič (author)

The Gehring-Martin-Tan inequality for two-generator subgroups of ▫$\text{PSL}(2,\mathbb{C})$▫ is one of the best known discreteness conditions. A Kleinian group ▫$G$▫ is called a Gehring-Martin-Tan group if the equality holds for the group ▫$G$▫. We give a method for constructing Gehring-Martin-Tan groups with a generator of order four and present some examples. These groups arise as groups of finite-volume hyperbolic 3-orbifolds.

• Language: English
• Keywords: hyperbolic orbifold, discreteness condition, two-generated group
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education; FMF - Faculty of Mathematics and Physics
• Year: 2016
• Number of pages: Str. 326-336
• Numbering: Vol. 94
• PID: 20.500.12556/RUL-111110
• UDC: 515.162
• ISSN on article: 0004-9727
• DOI: 10.1017/S0004972716000228
• COBISS.SI-ID: 17674329
• Publication date in RUL: 24.09.2019

Record is a part of a journal

• Title: Bulletin of the Australian Mathematical Society
• Shortened title: Bull. Aust. Math. Soc.
• Publisher: The University of Queensland Press
• ISSN: 0004-9727
• COBISS.SI-ID: 25151232