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October 2013 Note on non-discrete complex hyperbolic triangle groups of type $(n,n,\infty;k)$
Shigeyasu Kamiya
Proc. Japan Acad. Ser. A Math. Sci. 89(8): 100-102 (October 2013). DOI: 10.3792/pjaa.89.100

Abstract

A complex hyperbolic triangle group is a group generated by three complex involutions fixing complex lines in complex hyperbolic space. In a previous paper~[3] we discussed complex hyperbolic triangle groups of type $(n,n,\infty;k)$ and proved that for $n \geq 29$ these groups are not discrete. In this paper we show that if $n \geq 22$, then complex hyperbolic triangle groups of type $(n,n,\infty;k)$ are not discrete and give a new list of non-discrete groups of type $(n,n,\infty;k)$.

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Shigeyasu Kamiya. "Note on non-discrete complex hyperbolic triangle groups of type $(n,n,\infty;k)$." Proc. Japan Acad. Ser. A Math. Sci. 89 (8) 100 - 102, October 2013. https://doi.org/10.3792/pjaa.89.100

Information

Published: October 2013
First available in Project Euclid: 17 October 2013

zbMATH: 1294.22007
MathSciNet: MR3127925
Digital Object Identifier: 10.3792/pjaa.89.100

Subjects:
Primary: 22E40 , 32Q45 , 51M10

Keywords: Complex hyperbolic triangle group , complex involution

Rights: Copyright © 2013 The Japan Academy

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Vol.89 • No. 8 • October 2013
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