Geodesic
Stable elements of free nilpotent class 12 groups with 2 generators
The Bulletin of Irkutsk State University. Series Mathematics, Tome 3 (2010) no. 4, pp. 48-57

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This paper contains the full description of fixed elements by all automorphisms of free nilpotent class 12 groups with two generators. 
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     author = {A. I. Kovyrshina},
     title = {Stable elements of free nilpotent class 12 groups with 2 generators},
     journal = {The Bulletin of Irkutsk State University. Series Mathematics},
     pages = {48--57},
     publisher = {mathdoc},
     volume = {3},
     number = {4},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IIGUM_2010_3_4_a5/}
}
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A. I. Kovyrshina. Stable elements of free nilpotent class 12 groups with 2 generators. The Bulletin of Irkutsk State University. Series Mathematics, Tome 3 (2010) no. 4, pp. 48-57. http://geodesic.mathdoc.fr/item/IIGUM_2010_3_4_a5/