Mathematics – Group Theory
Scientific paper
2007-12-24
Groups Geom. Dyn. 3 (2009), no. 4, 525--539
Mathematics
Group Theory
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.
Bartholdi Laurent
Pochon Floriane
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