Given a totally disconnected locally compact group G that has a sufficiently transitive action on a locally finite building ?, we aim to investigate some invariants of G and uncover the relation to the analogue invariants of the type W of ?. In particular, we will talk about the rational discrete cohomological dimension and the number of ends of G. Work in progress with Bianca Marchionna and Thomas Weigel, Università di Milano Bicocca.