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arxiv: 0712.4005 · v1 · pith:GZQYWXEKnew · submitted 2007-12-24 · 🧮 math.GR

On growth and torsion of groups

classification 🧮 math.GR
keywords boundgroupsgrowthanswercharacterizingconsequencecontainingfabrykowski-gupta
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We give a subexponential upper bound and a superpolynomial lower bound on the growth function of the Fabrykowski-Gupta group. As a consequence, we answer negatively a question by Longobardi, Maj and Rhemtulla about characterizing groups containing no free subsemigroups on two generators.

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