Geodesic
Splitting automorphisms of free Burnside groups
Sbornik. Mathematics, Tome 204 (2013) no. 2, pp. 182-189

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It is proved that, if the order of a splitting automorphism of odd period $n\geqslant1003$ of a free Burnside group $B(m,n)$ is a prime, then the automorphism is inner. This implies, for every prime $n\geqslant1009$, an affirmative answer to the question on the coincidence of the splitting automorphisms of period $n$ of the group $B(m,n)$ with the inner automorphisms (this question was posed in the “Kourovka Notebook” in 1990). Bibliography: 17 titles.
Keywords: splitting automorphism, free Burnside group, inner automorphism, Tarski-monster, subdirect product. 
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V. S. Atabekyan. Splitting automorphisms of free Burnside groups. Sbornik. Mathematics, Tome 204 (2013) no. 2, pp. 182-189. http://geodesic.mathdoc.fr/item/SM_2013_204_2_a1/