2 citations
6 papers
Algorithms for twisted conjugacy classes of polycyclic-by-finite groups II
Sam Tertooy
We construct an algorithm that, given a pair of homomorphisms between polycyclic-by-finite groups, determines whether their Reidemeister number is finite, and if so returns a set o…
Nielsen numbers of -valued maps on infra-solvmanifolds
Karel Dekimpe, Lore De Weerdt
We derive a formula for the Nielsen number for every -valued self-map of an infra-solvmanifold. To do this, we express in terms of Nielsen coincidence numbers…
Tensor Train Completion from Fiberwise Observations Along a Single Mode
Shakir Showkat Sofi, Lieven De Lathauwer
Tensor completion is an extension of matrix completion aimed at recovering a multiway data tensor by leveraging a given subset of its entries (observations) and the pattern of obse…
An averaging formula for Nielsen numbers of affine n-valued maps on infra-nilmanifolds
Karel Dekimpe, Lore De Weerdt
In [8,9], the authors developed a nice formula to compute the Nielsen number of a self-map on an infra-nilmanifold. For the case of nilmanifolds this formula was extended to -va…
Non-affine -valued maps on tori
Karel Dekimpe, Lore De Weerdt
In this paper we construct -valued maps on -dimensional tori, where , that are not homotopic to affine -valued maps. This is in high contrast with the single va…
Extreme Reidemeister spectra of finite groups
Sam Tertooy
We extend the notions of "-property" and "full (extended) Reidemeister spectrum" to finite groups in a meaningful way. We provide examples of finite groups admitting thes…