Arithmetic aspects of self-similar groups
classification
🧮 math.GR
math.GT
keywords
arithmeticlatticeself-similaractionadmitsalgebraicaspectsfaithful
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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.
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