On growth and torsion of groups

Mathematics – Group Theory

Scientific paper

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10 pages

Scientific paper

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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