Discrete subgroups of PU(2, 1) with screw parabolic elements
نویسندگان
چکیده
منابع مشابه
Discrete subgroups of PU(2, 1) with screw parabolic elements
We give a version of Shimizu’s lemma for groups of complex hyperbolic isometries one of whose generators is a parabolic screw motion. Suppose that G is a discrete group containing a parabolic screw motion A and let B be any element of G not fixing the fixed point of A. Our result gives a bound on the radius of the isometric spheres of B and B−1 in terms of the translation lengths of A at their ...
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ژورنال
عنوان ژورنال: Mathematical Proceedings of the Cambridge Philosophical Society
سال: 2008
ISSN: 0305-0041,1469-8064
DOI: 10.1017/s0305004107000941