TWISTED CONJUGACY CLASSES IN WREATH PRODUCTS

DOI10.1142/S0218196706003219zbMath1150.20014MaRDI QIDQ3421599

Peter N.-S. Wong, Daciberg Lima Gonçalves

Publication date: 7 February 2007

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

zbMATH Keywords

wreath productsautomorphismstwisted conjugacy classesReidemeister numbersfinitely generated Abelian groups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Extensions, wreath products, and other compositions of groups (20E22) Fixed points and coincidences in algebraic topology (55M20)

Related Items

Vertex finiteness for splittings of relatively hyperbolic groups, The \(R_\infty\) and \(S_\infty\) properties for linear algebraic groups, Automorphisms of higher rank lamplighter groups, The \(R_\infty\) property for pure Artin braid groups, The \(\mathrm{R}_\infty\)-property for nilpotent quotients of Baumslag-Solitar groups, Twisted conjugacy classes in general and special linear groups., Twisted conjugacy classes in nilpotent groups., Reidemeister classes and twisted inner representations., Automorphisms of the generalized Thompson's group Tn,r$T_{n,r}$, Reidemeister classes, wreath products, and solvability, A relationship between twisted conjugacy classes and the geometric invariants \(\Omega^n\)., Two examples related to the twisted Burnside-Frobenius theory for infinitely generated groups, Reidemeister classes in some lamplighter-type groups, On the \(\sigma\)-invariants of wreath products, REIDEMEISTER SPECTRUM FOR METABELIAN GROUPS OF THE FORM Qⁿ ⋊ ℤ AND ℤ[1/pⁿ ⋊ ℤ, p PRIME], 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), Twisted conjugacy classes in lattices in semisimple Lie groups, Reidemeister classes in lamplighter-type groups, Twisted conjugacy classes in nilpotent groups, Twisted conjugacy and commensurability invariance, Twisted conjugacy in direct products of groups

Cites Work

• The Reidemeister zeta function with applications to Nielsen theory and a connection with Reidemeister torsion
• TWISTED CONJUGACY CLASSES IN EXPONENTIAL GROWTH GROUPS