Rings of invariants for the three dimensional modular representations of elementary abelian $p$-groups of rank four

Published 20 Oct 2014 in math.AC | (1410.5227v2)

Abstract: 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.

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