REIDEMEISTER SPECTRUM FOR METABELIAN GROUPS OF THE FORM Qn ⋊ ℤ AND ℤ[1/p]n ⋊ ℤ, p PRIME
DOI10.1142/S0218196711006297zbMath1225.20030arXiv0909.3128MaRDI QIDQ3006619
Alexander Fel'shtyn, Daciberg Lima Gonçalves
Publication date: 20 June 2011
Published in: International Journal of Algebra and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0909.3128
metabelian groupstwisted conjugacy classes\(R_\infty\)-propertyReidemeister numbersReidemeister spectra
Conjugacy classes for groups (20E45) Solvable groups, supersolvable groups (20F16) 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)
Related Items (3)
Cites Work
- Twisted Burnside theorem for type \(\text{II}_1\) groups: an example.
- Twisted conjugacy classes in saturated weakly branch groups.
- Twisted conjugacy classes in R. Thompson's group \(F\).
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- Twisted conjugacy classes in symplectic groups, mapping class groups and braid groups. (With an appendix written jointly with Francois Dahmani)
- The Selberg-Arthur trace formula. Based on lectures by James Arthur
- Coincidence Reidemeister classes on nilmanifolds and nilpotent fibrations
- The Reidemeister zeta function with applications to Nielsen theory and a connection with Reidemeister torsion
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- Most automorphisms of a hyperbolic group have very simple dynamics
- TWISTED CONJUGACY CLASSES IN WREATH PRODUCTS
- Lectures on Nielsen fixed point theory
- Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120)
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