8 papers
A note on the Mittag--Leffler condition for Bredon-modules
Martin G. Fluch, Giovanni Gandini, Brita Nucinkis
In this note we show the Bredon-analogue of a result by Emmanouil and Talelli, which gives a criterion when the homological and cohomological dimensions of a countable group ag…
The braided Thompson's groups are of type
Kai-Uwe Bux, Martin Fluch, Marco Marschler +2
We prove that the braided Thompson's groups and are of type , confirming a conjecture by John Meier. The proof involves showing that matching co…
The Brin-Thompson groups sV are of type F_\infty
Martin Fluch, Marco Marschler, Stefan Witzel +1
We prove that the Brin-Thompson groups sV, also called higher dimensional Thompson's groups, are of type F_\infty for all natural numbers s. This result was previously shown for s…
An Eilenberg-Ganea Phenomenon for Actions with Virtually Cyclic Stabilisers
Martin Fluch, Ian J. Leary
In dimension 3 and above, Bredon cohomology gives an acurate purely algebraic description of the minimal dimension of the classifying space for actions of a group with stabilisers…
Brown's criterion in Bredon homology
Martin Fluch, Stefan Witzel
We translate Brown's criterion for homological finiteness properties to the setting of Bredon homology.
On the classifying space for the family of virtually cyclic subgroups for elementary amenable groups
Martin Fluch, Brita E. A. Nucinkis
We show that elementary amenable groups, which have a bound on the orders of their finite subgroups, admit a finite dimensional model for the classifying space with virtually cycli…