Geodesic
NORMAL AUTOMORPHISMS OF A FREE METABELIAN NILPOTENT GROUP
Glasgow mathematical journal, Tome 52 (2010) no. 1, pp. 169-177

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DOI

An automorphism φ of a group G is said to be normal if φ(H) = H for each normal subgroup H of G. These automorphisms form a group containing the group of inner automorphisms. When G is a non-abelian free (or free soluble) group, it is known that these groups of automorphisms coincide, but this is not always true when G is a free metabelian nilpotent group. The aim of this paper is to determine the group of normal automorphisms in this last case.
DOI : 10.1017/S0017089509990267
Mots-clés : 20E36, 20F28 
ENDIMIONI, GÉRARD. NORMAL AUTOMORPHISMS OF A FREE METABELIAN NILPOTENT GROUP. Glasgow mathematical journal, Tome 52 (2010) no. 1, pp. 169-177. doi: 10.1017/S0017089509990267
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     title = {NORMAL {AUTOMORPHISMS} {OF} {A} {FREE} {METABELIAN} {NILPOTENT} {GROUP}},
     journal = {Glasgow mathematical journal},
     pages = {169--177},
     year = {2010},
     volume = {52},
     number = {1},
     doi = {10.1017/S0017089509990267},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089509990267/}
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