On Gehring-Martin-Tan groups with an elliptic generator Full article
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Bulletin of the Australian Mathematical Society
ISSN: 0004-9727 |
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| Output data | Year: 2016, Volume: 94, Number: 2, Pages: 326-336 Pages count : 11 DOI: 10.1017/S0004972716000228 | ||||||
| Tags | and phrases hyperbolic orbifold; discreteness condition; two-generated group | ||||||
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Abstract:
The Gehring-Martin-Tan inequality for two-generator subgroups of PSL(2, ℂ)is one of the best known discreteness conditions. A Kleinian group 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.
Cite:
Repovs D.
, Vesnin A.Y.
On Gehring-Martin-Tan groups with an elliptic generator
Bulletin of the Australian Mathematical Society. 2016. V.94. N2. P.326-336. DOI: 10.1017/S0004972716000228 WOS Scopus OpenAlex
On Gehring-Martin-Tan groups with an elliptic generator
Bulletin of the Australian Mathematical Society. 2016. V.94. N2. P.326-336. DOI: 10.1017/S0004972716000228 WOS Scopus OpenAlex
Identifiers:
| Web of science: | WOS:000384280400019 |
| Scopus: | 2-s2.0-84966661176 |
| OpenAlex: | W3104655792 |