Peakword Condensation and Submodule Lattices: An Application of the Meat-Axe

We describe a new condensation method for computing the submodule lattice of a module for a finite dimensional algebra over a finite field, which exploits the idea of condensation and extends it to the case of primitive idempotents. The method has been implemented in the new C version of the MEAT-AXE developed at Aachen, and we give several examples which have been analysed with our method