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Universal constraints on semigroups of hyperbolic isometries
Published 30 Jun 2019 in math.DS | (1907.00347v1)
Abstract: A semigroup generated by a finite collection of isometries of the hyperbolic plane is called semidiscrete if its elements do not accumulate at the identity transformation in the topology of uniform convergence on compact sets. In this paper we obtain geometric constraints on the generators of a finitely-generated semigroup which imply that the semigroup is semidiscrete.
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