Fundamental domains for lattices in rank one semisimple lie groups.
We construct a fundamental domain omega for an arbitrary lattice [unk] in a real rank one, real simple Lie group, where omega has finitely many cusps (i.e., is a finite union of Siegel sets) and has the Siegel property (i.e., the set {gamma [unk] [unk]|omegagamma [unk] omega [unk] varphi} is finite). From the existence of omega we derive a number of consequences. In particular, we show that [unk] is finitely presentable and is almost always rigid.
YALE UNIVERSITY AND TATA INSTITUTE OF FUNDAMENTAL RESEARCH, BOMBAY, INDIA.
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H
Garland
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MS
Raghunathan