Rings of invariants for the three dimensional modular representations of   elementary abelian $p$-groups of rank four
  We show that the rings of invariants for the three dimensional modular representations of an elementary abelian $p$-group of rank four are complete intersections with embedding dimension at most five. Our results confirm the conjectures of Campbell, Shank and Wehlau. 
Th\'eo Pierron and R.J. Shank
math.AC