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

Théo Pierron; R. J. Shank

doi:10.2140/involve.2016.9.551

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arXiv · 1410.5227

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

Théo Pierron·R. J. Shank

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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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Théo Pierron, R. J. Shank. 2015-06-30. Rings of invariants for the three dimensional modular representations of elementary abelian $p$-groups of rank four. https://doi.org/10.2140/involve.2016.9.551

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