Geodesic
A SAGBI Basis For F[V 2 ⊕ V 2 ⊕ V 3]Cp
Canadian mathematical bulletin, Tome 52 (2009) no. 1, pp. 72-83

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Let ${{C}_{p}}$ denote the cyclic group of order $p$ , where $p\,\ge \,3$ 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 $\mathbb{F}{{\left[ {{V}_{2}}\,\oplus \,{{V}_{2}}\,\oplus \,{{V}_{3}} \right]}^{{{C}_{p}}}}$ .
DOI : 10.4153/CMB-2009-009-2
Mots-clés : 13A50 
Duncan, Alexander; LeBlanc, Michael; L.Wehlau, David. A SAGBI Basis For F[V 2 ⊕ V 2 ⊕ V 3]Cp. Canadian mathematical bulletin, Tome 52 (2009) no. 1, pp. 72-83. doi: 10.4153/CMB-2009-009-2
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     author = {Duncan, Alexander and LeBlanc, Michael and L.Wehlau, David},
     title = {A {SAGBI} {Basis} {For} {F[V} 2 \ensuremath{\oplus} {V} 2 \ensuremath{\oplus} {V} {3]Cp}},
     journal = {Canadian mathematical bulletin},
     pages = {72--83},
     year = {2009},
     volume = {52},
     number = {1},
     doi = {10.4153/CMB-2009-009-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2009-009-2/}
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