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تسجيل مستخدم جديدNielsen equivalence in Gupta-Sidki groups
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Aglaia Myropolska
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For a group $G$ generated by $k$ elements, the Nielsen equivalence classes are defined as orbits of the action of $operatorname{Aut} F_k$, the automorphism group of the free group of rank $k$, on the set of generating $k$-tuples of $G$. Let $pgeq 3$ be prime and $G_p$ the Gupta-Sidki $p$-group. We prove that there are infinitely many Nielsen equivalence classes on generating pairs of $G_p$.
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