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arXiv:1903.04828 [math.GR]AbstractReferencesReviewsResources

Volume versus rank of lattices in Lie groups

Tsachik Gelander, Raz Slutsky

Published 2019-03-12Version 1

We prove that the rank (that is, the minimal size of a generating set) of lattices in a general connected Lie group is bounded by the co-volume of the projection of the lattice to the semi-simple part of the group. This is a generalization of a result by Gelander for semi-simple Lie groups and a result of Mostow for solvable Lie groups.

Categories: math.GR, math.GT
Subjects: 22E40
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