Published January 1, 2016 | Version v1
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RINGS OF INVARIANTS FOR MODULAR REPRESENTATIONS OF THE KLEIN FOUR GROUP

  • 1. Bilkent Univ, Dept Math, TR-06800 Ankara, Turkey
  • 2. Univ Kent, Sch Math Stat & Actuarial Sci, Canterbury CT2 7NF, Kent, England

Description

We study the rings of invariants for the indecomposable modular representations of the Klein four group. For each such representation we compute the Noether number and give minimal generating sets for the Hilbert ideal and the field of fractions. We observe that, with the exception of the regular representation, the Hilbert ideal for each of these representations is a complete intersection.

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