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arXiv:1008.2911 [math.GR]AbstractReferencesReviewsResources

Simple groups without lattices

Uri Bader, Pierre-Emmanuel Caprace, Tsachik Gelander, Shahar Mozes

Published 2010-08-17, updated 2011-03-13Version 2

We show that the group of almost automorphisms of a d-regular tree does not admit lattices. As far as we know this is the first such example among (compactly generated) simple locally compact groups.

Comments: 17 pages. Revised according to referee's report
Journal: Bull. Lond. Math. Soc. 44 (2012), no. 1, 55-67
Categories: math.GR
Subjects: 22E40, 20E08
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