Twisted conjugacy in free groups and Makanin's question

dc.creatorBardakov, Valerij
dc.creatorBokut, Leonid
dc.creatorVesnin, Andrei
dc.date2004-01-26
dc.date2004-02-04
dc.date.accessioned2026-07-07T05:04:51Z
dc.date.available2026-07-07T05:04:51Z
dc.descriptionWe discuss the following question of G. Makanin from ``Kourovka notebook'': does there exist an algorithm to determine is for an arbitrary pair of words $U$ and $V$ of a free group $F_n$ and an arbitrary automorphism $ϕ\in Aut(F_n)$ the equation $ϕ(X) U = V X$ solvable in $F_n$? We give the affirmative answer in the case when an automorphism is virtually inner, i.e. some its non-zero power is an inner automorphism of $F_n$.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/math/0401349
dc.identifierhttp://arxiv.org/abs/math/0401349
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69968
dc.subjectGroup Theory
dc.subject20F10
dc.titleTwisted conjugacy in free groups and Makanin's question
dc.typetext

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