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Rings of
invariants for the three-dimensional modular representations
of elementary abelian $p$-groups of rank four
Théo Pierron and R. James Shank
Vol. 9 (2016), No. 4, 551–581
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Abstract |
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We show that the rings of invariants for the three-dimensional modular representations of an elementary abelian -group of rank four are complete intersections with embedding dimension at most five. Our results confirm the conjectures of Campbell, Shank and Wehlau (Transform. Groups 18 (2013), 1–22) for these representations. |
Keywords
modular invariant theory, elementary abelian $p$-groups
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Mathematical Subject Classification 2010
Primary: 13A50
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Milestones
Received: 22 October 2014
Revised: 30 June 2015
Accepted: 17 August 2015
Published: 6 July 2016
Communicated by Ravi Vakil
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Authors |
| Théo Pierron | |
| Département Mathématiques ENS Rennes 35170 BRUZ France |
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| R. James Shank | |
| School of Mathematics, Statistics
& Actuarial Science University of Kent Canterbury CT2 7NF United Kingdom |
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