scientific article; zbMATH DE number 5053407

zbMath1147.20036arXivmath/0606155MaRDI QIDQ5488006

Evgenij V. Troitsky, Alexander Fel'shtyn

Publication date: 13 September 2006

Full work available at URL: https://arxiv.org/abs/math/0606155

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zbMATH Keywords

numbers of conjugacy classesautomorphismsirreducible unitary representationsdiscrete groupstwisted conjugacy classesReidemeister numbers

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Ordinary representations and characters (20C15) Geometric group theory (20F65) Unitary representations of locally compact groups (22D10) Automorphisms of infinite groups (20E36) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Fixed points and coincidences in algebraic topology (55M20) Fundamental group, presentations, free differential calculus (57M05) Induced representations for locally compact groups (22D30)

Related Items (9)

Twisted Burnside-Frobenius theory for endomorphisms of polycyclic groups ⋮ Two examples related to the twisted Burnside-Frobenius theory for infinitely generated groups ⋮ Twisted conjugacy classes in saturated weakly branch groups. ⋮ Twisted Burnside-Frobenius theory for virtually polycyclic groups. ⋮ New directions in Nielsen-Reidemeister theory ⋮ Twisted conjugacy classes in symplectic groups, mapping class groups and braid groups. (With an appendix written jointly with Francois Dahmani) ⋮ Noncommutative Riesz theorem and weak Burnside type theorem on twisted conjugacy ⋮ Reidemeister classes in lamplighter-type groups ⋮ Twisted Burnside-Frobenius theorem and \(R_\infty\)-property for lamplighter-type groups

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