2013 Fiscal Year Final Research Report
Studies on 2-dimensional complex hyperbolic triangle groups
| Project/Area Number |
22540212
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Basic analysis
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| Research Institution | Okayama University of Science |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
MURAKAMI Satoru 岡山理科大学, 理学部, 教授 (40123963)
YAMASAKI Masayuki 岡山理科大学, 理学部, 教授 (70174646)
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| Project Period (FY) |
2010-04-01 – 2014-03-31
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| Keywords | 複素双曲三角群 / 複素双曲空間 / 離散群 |
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| Research Abstract |
We discuss complex hyperbolic triangle groups of type (n,n,infinity;k) and obtain a new list of non-discrete groups. In particular, we show that if n >21, then complex hyperbolic triangle groups of type (n,n,infinity;k) are non-discrete. Also we find 10 discrete complex hyperbolic triangle groups of type (n,n,infinity;k).
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