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# A SAGBI Basis For $\mathbb F[V_2\oplus V_2\oplus V_3]^{C_p}$

Published:2009-03-01
Printed: Mar 2009
• Alexander Duncan
• Michael LeBlanc
• David L. Wehlau
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## Abstract

Let $C_p$ denote the cyclic group of order $p$, where $p \geq 3$ is prime. We denote by $V_n$ the indecomposable $n$ dimensional representation of $C_p$ over a field $\mathbb F$ of characteristic $p$. We compute a set of generators, in fact a SAGBI basis, for the ring of invariants $\mathbb F[V_2 \oplus V_2 \oplus V_3]^{C_p}$.
 MSC Classifications: 13A50 - Actions of groups on commutative rings; invariant theory [See also 14L24]

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