A Bestvina-Brady type subgroup of a finitely generated group G is the kernel of a map from G to a free abelian group. The Bieri-Strebel-Renz invariants of G are a useful tool to understand to the homological and homotopical finiteness properties of its Bestvina-Brady type subgroups. We will review some known results about these invariants for rigth angled Artin groups and how to (partially) generalize to different sitiations such as certain Artin groups of even type or rigth angled Lie algebras.

This talk will cover joint work with Ruben Blasco and Jose Ignacio Cogolludo and also with Dessislava Kochloukova.