On Gehring-Martin-Tan groups with an elliptic generator

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

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.

• Jezik: Angleški jezik
• Ključne besede: hyperbolic orbifold, discreteness condition, two-generated group
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: PEF - Pedagoška fakulteta; FMF - Fakulteta za matematiko in fiziko
• Leto izida: 2016
• Št. strani: Str. 326-336
• Številčenje: Vol. 94
• PID: 20.500.12556/RUL-111110
• UDK: 515.162
• ISSN pri članku: 0004-9727
• DOI: 10.1017/S0004972716000228
• COBISS.SI-ID: 17674329
• Datum objave v RUL: 24.09.2019

Gradivo je del revije

• Naslov: Bulletin of the Australian Mathematical Society
• Skrajšan naslov: Bull. Aust. Math. Soc.
• Založnik: The University of Queensland Press
• ISSN: 0004-9727
• COBISS.SI-ID: 25151232