I Warmly Thank Professor Shahar Mozes for Some Remarks on the Co-volume of Lattices Acting on a Product of Trees
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چکیده
a lot of friendly help and advise and for introducing me to this beautiful subject. I wish to thank Professor Mark Burger for help and ideas he gave me during the summer school in Hirschberg. I would like to thank the fund in memory of Giora Yishinsky for giving me the award in his honor for this work.
منابع مشابه
Some Remarks on the co-volume of Lattices Acting on a Product of Trees
Many of the works concerning the automorphism group of a regular tree Aut(T ) and its uniform lattices suggest a strong resemblance between Aut(T ) and simple rank one real Lie groups, and even more so between Aut(T ) and the p-adic points of a rank one algebraic group G. Under this analogy the automorphism group of a product of two trees A = Aut(T n × T) = Aut(∆) corresponds to a product of tw...
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Let G be a locally compact topological group. A lattice in G is a discrete subgroup Γ such that Γ\G carries a finite G–invariant measure, and Γ is uniform or cocompact if Γ\G is compact. Lattices in Lie groups have been well-studied. See, for example, Raghunathan [48], and for open problems the section on “Lattices in Lie groups” in this wiki. Much less is known about lattices in other locally ...
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We construct a finitely presented torsion-free simple group Σ0, acting cocompactly on a product of two regular trees. An infinite family of such groups has been introduced by Burger-Mozes ([2, 4]). We refine their methods and get Σ0 as an index 4 subgroup of a group Σ < Aut(T12)×Aut(T8) presented by 10 generators and 24 short relations. For comparison, the smallest virtually simple group of [4,...
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تاریخ انتشار 1997