Non-Discrete Complex Hyperbolic Triangle Groups of Type (n, n, ∞; k)
Canadian mathematical bulletin, Tome 55 (2012) no. 2, pp. 329-338
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A complex hyperbolic triangle group is a group generated by three involutions fixing complex lines in complex hyperbolic space. Our purpose in this paper is to improve a previous result and to discuss discreteness of complex hyperbolic triangle groups of type $(n,\,n,\,\infty ;\,k)$ .
Mots-clés :
51M10, 32M15, 53C55, 53C35, complex hyperbolic triangle group
Kamiya, Shigeyasu; Parker, John R.; Thompson, James M. Non-Discrete Complex Hyperbolic Triangle Groups of Type (n, n, ∞; k). Canadian mathematical bulletin, Tome 55 (2012) no. 2, pp. 329-338. doi: 10.4153/CMB-2011-094-8
@article{10_4153_CMB_2011_094_8,
author = {Kamiya, Shigeyasu and Parker, John R. and Thompson, James M.},
title = {Non-Discrete {Complex} {Hyperbolic} {Triangle} {Groups} of {Type} (n, n, \ensuremath{\infty}; k)},
journal = {Canadian mathematical bulletin},
pages = {329--338},
year = {2012},
volume = {55},
number = {2},
doi = {10.4153/CMB-2011-094-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-094-8/}
}
TY - JOUR AU - Kamiya, Shigeyasu AU - Parker, John R. AU - Thompson, James M. TI - Non-Discrete Complex Hyperbolic Triangle Groups of Type (n, n, ∞; k) JO - Canadian mathematical bulletin PY - 2012 SP - 329 EP - 338 VL - 55 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-094-8/ DO - 10.4153/CMB-2011-094-8 ID - 10_4153_CMB_2011_094_8 ER -
%0 Journal Article %A Kamiya, Shigeyasu %A Parker, John R. %A Thompson, James M. %T Non-Discrete Complex Hyperbolic Triangle Groups of Type (n, n, ∞; k) %J Canadian mathematical bulletin %D 2012 %P 329-338 %V 55 %N 2 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-094-8/ %R 10.4153/CMB-2011-094-8 %F 10_4153_CMB_2011_094_8
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