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Journal of Lie Theory 24 (2014), No. 1, 179--197
Copyright Heldermann Verlag 2014

Lattices in S-adic Lie Groups

Yves Benoist
CNRS -- Université Paris-Sud, Orsay, France

Jean-François Quint
CNRS -- Université Bordeaux 1, Talence, France

We show that any finite volume quotient of an S-adic Lie group admits a fibration with compact fibers over some finite volume quotient of a product of algebraic semisimple p-adic Lie groups. We also prove a similar decomposition for lattices in a solvable locally compact group.

Keywords: Lattice, Lie group, local field.

MSC: 22E40

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