Bitwisted Burnside-Frobenius theorem and Dehn conjugacy problem

Alexander 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 -