Bitwisted Burnside-Frobenius theorem and Dehn conjugacy problem

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dc.creatorFel'shtyn, Alexander
dc.date2007-03-26
dc.date2008-10-23
dc.date.accessioned2026-07-07T10:12:32Z
dc.date.available2026-07-07T10:12:32Z
dc.descriptionIt is proved for Abelian groups that the Reidemeister coincidence number of two endomorphisms $ϕ$ and $ψ$ is equal to the number of coincidence points of $\whϕ$ and $\whψ$ on the unitary dual, if the Reidemeister number is finite. An affirmative answer to the bitwisted Dehn conjugacy problem for almost polycyclic groups is obtained. Finally we explain why the Reidemeister numbers are always infinite for injective endomorphisms of Baumslag-Solitar groups.
dc.description15 pages, v.3
dc.identifierhttps://arxiv.org/abs/math/0703744
dc.identifierhttp://arxiv.org/abs/math/0703744
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172213
dc.subjectGroup Theory
dc.subjectRepresentation Theory
dc.subject20C; 22D10; 22D25; 37C25; 43A30; 54H25; 55M20
dc.titleBitwisted Burnside-Frobenius theorem and Dehn conjugacy problem
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