Iddo Samet
Published 2012-09-12Version 1
We show that the number of conjugacy classes of maximal finite subgroups of a lattice in a semisimple Lie group is linearly bounded by the covolume of the lattice. Moreover, for higher rank groups, we show that this number grows sublinearly with covolume. We obtain similar results for isotropy subgroups in lattices. Geometrically, this yields volume bounds for the number of strata in the natural stratification of a finite-volume locally symmetric orbifold.
Almost-minimal nonuniform lattices of higher rank
Regularity of K-finite matrix coefficients of semisimple Lie groups
Harish-Chandra--Schwartz's algebras associated with discrete subgroups of Semisimple Lie groups
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