Bijectivity of the skew map in $n$-groups
Trudy Instituta matematiki, Tome 16 (2008) no. 1, pp. 106-112

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A number of problems connected with the skew map $h\colon x\to\bar{x}$ in an $n$-group is considered. In this paper some $n$-groups where $h\colon x\to\bar{x}$ and ${}^{(t)}\colon x\to x^{(t)}$ are automorphisms or bijective maps are indicated.
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N. A. Schuchkin. Bijectivity of the skew map in $n$-groups. Trudy Instituta matematiki, Tome 16 (2008) no. 1, pp. 106-112. http://geodesic.mathdoc.fr/item/TIMB_2008_16_1_a18/