TWISTED CONJUGACY CLASSES IN EXPONENTIAL GROWTH GROUPS

DOI10.1112/S0024609302001832zbMath1030.20020OpenAlexW2120384785MaRDI QIDQ4418922

Peter N.-S. Wong, Daciberg Lima Gonçalves

Publication date: 8 September 2003

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024609302001832

zbMATH Keywords

endomorphismsfinitely generated groupshyperbolic groupsautomorphismsgroup extensionsgroups of exponential growthtwisted conjugacy classesReidemeister numbersexponential growth groups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Solvable groups, supersolvable groups (20F16) Generators, relations, and presentations of groups (20F05) 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) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (16)

The \(R_\infty\) and \(S_\infty\) properties for linear algebraic groups ⋮ Twisted conjugacy in fundamental groups of geometric 3-manifolds ⋮ Thompson-like groups, Reidemeister numbers, and fixed points ⋮ The groups Aut and Out of the fundamental group of a closed Sol 3-manifold ⋮ A relationship between twisted conjugacy classes and the geometric invariants \(\Omega^n\). ⋮ Geometry of Reidemeister classes and twisted Burnside theorem ⋮ Twisted Burnside-Frobenius theory for virtually polycyclic groups. ⋮ Automorphisms with finite Reidemeister number in residually finite groups. ⋮ Nielsen numbers of selfmaps of Sol 3-manifolds ⋮ A note on polycyclic groups that have an automorphism with finite Reidemeister number. ⋮ Reidemeister classes in lamplighter-type groups ⋮ Twisted conjugacy classes in nilpotent groups ⋮ Twisted Burnside-Frobenius theorem and \(R_\infty\)-property for lamplighter-type groups ⋮ TWISTED CONJUGACY CLASSES IN WREATH PRODUCTS ⋮ Reidemeister spectra for solvmanifolds in low dimensions ⋮ Twisted conjugacy in direct products of groups

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