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On Gehring-Martin-Tan groups with an elliptic generator
ID
Repovš, Dušan
(
Author
),
ID
Vesnin, Andreî Jurʹevič
(
Author
)
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Abstract
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
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903
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422
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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
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