5 papers
Involutions in Coxeter groups
Anna Michael, Yuri Santos Rego, Petra Schwer +1
We combinatorially characterize the number of conjugacy classes of involutions in any Coxeter group in terms of higher rank odd graphs. This notion naturally genera…
Canonical decompositions and algorithmic recognition of spatial graphs
Stefan Friedl, Lars Munser, José Pedro Quintanilha +1
We prove that there exists an algorithm for determining whether two piecewise-linear spatial graphs are isomorphic. In its most general form, our theorem applies to spatial graphs…
Thompson-like groups, Reidemeister numbers, and fixed points
Paula Macedo Lins de Araujo, Altair Santos de Oliveira-Tosti, Yuri Santos Rego
We investigate fixed-point properties of automorphisms of groups similar to R. Thompson's group . Revisiting work of Gonçalves-Kochloukova, we deduce a cohomological criterion t…
Twisted conjugacy in soluble arithmetic groups
Paula Macedo Lins de Araujo, Yuri Santos Rego
Reidemeister numbers of group automorphisms encode the number of twisted conjugacy classes of groups and might yield information about self-maps of spaces related to the given obje…
On the finiteness length of some soluble linear groups
Yuri Santos Rego
Given a commutative unital ring , we show that the finiteness length of a group is bounded above by the finiteness length of the Borel subgroup of rank one $\mathbf{B}_2^\ci…