# Bitwisted Burnside-Frobenius theorem and Dehn conjugacy problem

Banach Center Publications (2009)

- Volume: 85, Issue: 1, page 31-42
- ISSN: 0137-6934

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topAlexander Fel'shtyn. "Bitwisted Burnside-Frobenius theorem and Dehn conjugacy problem." Banach Center Publications 85.1 (2009): 31-42. <http://eudml.org/doc/282096>.

@article{AlexanderFelshtyn2009,

abstract = {It 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 ϕ̂ and ψ̂ 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.},

author = {Alexander Fel'shtyn},

journal = {Banach Center Publications},

keywords = {Reidemeister number; bitwisted conjugacy classes; bitwisted conjugacy separable group; Burnside-Frobenius theorem},

language = {eng},

number = {1},

pages = {31-42},

title = {Bitwisted Burnside-Frobenius theorem and Dehn conjugacy problem},

url = {http://eudml.org/doc/282096},

volume = {85},

year = {2009},

}

TY - JOUR

AU - Alexander Fel'shtyn

TI - Bitwisted Burnside-Frobenius theorem and Dehn conjugacy problem

JO - Banach Center Publications

PY - 2009

VL - 85

IS - 1

SP - 31

EP - 42

AB - It 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 ϕ̂ and ψ̂ 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.

LA - eng

KW - Reidemeister number; bitwisted conjugacy classes; bitwisted conjugacy separable group; Burnside-Frobenius theorem

UR - http://eudml.org/doc/282096

ER -

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