G. Janssens

collaborators

4 papers

math.RA2019

Codimension Growth of Lie algebras with a generalized action

Geoffrey Janssens

Let $L$ be a finite dimensional Lie $F$ -algebra endowed with a generalized action by an associative algebra $H$ . We investigate the exponential growth rate of the sequence of $H$ -g…

math.RT2019

Glider Representation Rings with a view on distinguishing groups

Frederik Caenepeel, Geoffrey Janssens

Let $G$ be a finite group. In the first part of the paper we develop further the foundations of the youngly introduced glider representation theory. Glider representations encompas…

math.GR2018

A dichotomy for integral group rings via higher modular groups as amalgamated products

Andreas Bächle, Geoffrey Janssens, Eric Jespers +2

We show that $U (Z G)$ , the unit group of the integral group ring $Z G$ , either satisfies Kazhdan's property (T) or is, up to commensurability, a non-triv…

math.GR2018

Abelianization and fixed point properties of units in integral group rings

Andreas Bächle, Geoffrey Janssens, Eric Jespers +2

Let $G$ be a finite group and $U (Z G)$ the unit group of the integral group ring $Z G$ . We prove a unit theorem, namely a characterization of when $\ma…