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.
Garland
H
H
YALE UNIVERSITY AND TATA INSTITUTE OF FUNDAMENTAL RESEARCH, BOMBAY, INDIA.
Raghunathan
M S
MS