9 citations · 10 across the 4 of their papers we have counts for
6 papers
On arithmetic properties of solvable Baumslag-Solitar groups
Laurent Hayez, Tom Kaiser, Alain Valette
For , we say that a sequence of -regular graphs has property if there exists a constant such that . We i…
A closer look at the non-Hopfianness of
Tom Kaiser
The Baumslag-Solitar group , is a so-called non-Hopfian group, meaning that it has an epimorphism onto itself, that is not injective. In particular this is equivalent…
Magnitude Homology, Diagonality, Medianness, Künneth and Mayer-Vietoris
Rémi Bottinelli, Tom Kaiser
Magnitude homology of graphs is introduced by Hepworth and Willerton in arXiv:1505.04125 . Magnitude homology of arbitrary metric spaces by Leinster and Shulman in arXiv:1711.00802…
The first uniformly finite homology group with coefficients in and a characterisation of its vanishing in the transitive case
Rémi Bottinelli, Tom Kaiser
We study the first uniformly finite homology group of Block and Weinberger for uniformly locally finite graphs, with coefficients in and . When the graph…
Combinatorial cost: a coarse setting
Tom Kaiser
The main inspiration for this paper is a paper by Elek where he introduces combinatorial cost for graph sequences. We show that having cost equal to 1 and hyperfiniteness are coars…
The Reidemeister spectra of low dimensional crystallographic groups
Karel Dekimpe, Tom Kaiser, Sam Tertooy
In this paper we study the number of twisted conjugacy classes (the Reidemeister number) for automorphisms of crystallographic groups. We present two main algorithms for crystallog…