Geodesic
A Note on Automorphisms of Free Nilpotent Groups
Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 2, pp. 441-444.

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-- 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.
Presentiamo sottogruppi normali di un gruppo nilpotente libero di rango due e classe tre, tali che i corrispondenti quozienti siano finiti e fra loro isomorfi, ma non coniugati rispetto ad alcun automorfismo di F. 
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Mattarei, Sandro. A Note on Automorphisms of Free Nilpotent Groups. Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 2, pp. 441-444. http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_2_a11/

[DH75] G. Daues - H. Heineken, Dualitäten und Gruppen der Ordnung $p^6$, Geometriae Dedicata, 4, no. 2/3/4 (1975), 215-220. | DOI | MR

[FJ86] M. D. Fried - M. Jarden, Field arithmetic, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)], vol. 11, Springer-Verlag, Berlin, 1986. | DOI | MR

[Gas55] W. Gaschütz, Zu einem von B.H. und H. Neumann gestellten Problem, Math. Nachr., 14 (1955), 249-252. | DOI | MR

[Hal59] M. Hall Jr., The theory of groups, The MacMillan Co., New York, N. Y., 1959. | MR

[Hup67] B. Huppert, Endliche Gruppen. I, Die Grundlehren der Mathematischen Wissenschaften, Band 134, Springer-Verlag, Berlin, 1967. | MR

[LGM02] C. R. Leedham-Green - S. Mckay, The structure of groups of prime power order, London Mathematical Society Monographs. New Series, Vol. 27, Oxford University Press, Oxford, 2002, Oxford Science Publications. | MR | Zbl

[MKS76] W. Magnus - A. Karrass - D. Solitar, Combinatorial group theory, revised ed., Dover Publications Inc., New York, 1976, Presentations of groups in terms of generators and relations. | MR | Zbl

[Sco91] C. M. Scoppola, Groups of prime power order as Frobenius-Wielandt complements, Trans. Amer. Math. Soc., 325, no. 2 (1991), 855-874. | DOI | MR | Zbl