Rings of invariants for modular representations of the Klein four group

M. Sezer; R. J. Shank

doi:10.1090/tran/6516

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arXiv · 1309.7812

Rings of invariants for modular representations of the Klein four group

M. Sezer·R. J. Shank

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Abstract

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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M. Sezer, R. J. Shank. 2013-09-30. Rings of invariants for modular representations of the Klein four group. https://doi.org/10.1090/tran/6516

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