Arithmetic aspects of self-similar groups

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We prove that an irreducible lattice in a semisimple algebraic group is virtually isomorphic to an arithmetic lattice if and only if it admits a faithful self-similar action on a rooted tree of finite valency.
6 pages

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Group Theory, Geometric Topology, 20F65; 20E08; 22E40

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http://salesiana.dossiersoluciones.com/handle/123456789/168360

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0809.0323
 http://arxiv.org/abs/0809.0323

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arXiv