On an involutive automorphism of the Burnside group $B_0(2,5)$
Sibirskij žurnal industrialʹnoj matematiki, Tome 13 (2010) no. 3, pp. 68-75

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We study the centralizer of the involutive automorphism of the Burnside group $B_0(2,5)$ taking the generators of $B_0(2,5)$ to their inverses. We find generators for the centralizer and compute its order, solvability length, and nilpotency length.
Keywords: Burnside problem.
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A. A. Kuznetsov; K. A. Filippov. On an involutive automorphism of the Burnside group $B_0(2,5)$. Sibirskij žurnal industrialʹnoj matematiki, Tome 13 (2010) no. 3, pp. 68-75. http://geodesic.mathdoc.fr/item/SJIM_2010_13_3_a8/