We exhibit normal subgroups of a free nilpotent group F of rank two and class three, which have isomorphic finite quotients but are not conjugate under any automorphism of F.
Mattarei, S. (2007). A note on automorphisms of free nilpotent groups. BOLLETTINO DELL'UNIONE MATEMATICA ITALIANA. B, 10(8), 441-444.
A note on automorphisms of free nilpotent groups
Mattarei, S
2007
Abstract
We exhibit normal subgroups of a free nilpotent group F of rank two and class three, which have isomorphic finite quotients but are not conjugate under any automorphism of F.
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