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arxiv: 1410.5227 · v2 · pith:KLGFNBVGnew · submitted 2014-10-20 · 🧮 math.AC

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

classification 🧮 math.AC
keywords abeliandimensionalelementaryfourinvariantsmodularrankrepresentations
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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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