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10.25 (1986)

Solved

(Well-known problem). Does there exist an algorithm which decides for a given automorphism of a free group whether this automorphism has a non-trivial fixed point?

Contributor: G. S. Makanin

Progress

Yes, it does (O. Bogopolski, O. Maslakova, Int. J. Algebra Comput., 26, no. 1 (2016), 29–67).

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