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15.102 (2002)

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(W. Magnus). An element $r$ of a free group $F_n$ is called a normal root of an element $u \in F_n$ if $u$ belongs to the normal closure of $r$ in $F_n$. Can an element $u$ that lies outside the commutator subgroup $[F_n, F_n]$ have infinitely many non-conjugate normal roots?

Contributor: V. E. Shpilrain

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