Geodesic
The Optimal Lower Bound for Generators of Invariant Rings without Finite SAGBI Bases with Respect to Any Admissible Order
Discrete mathematics & theoretical computer science, Tome 3 (1998-1999) no. 2.

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We prove the existence of an invariant ring \textbfC[X_1,...,X_n]^T generated by elements with a total degree of at most 2, which has no finite SAGBI basis with respect to any admissible order. Therefore, 2 is the optimal lower bound for the total degree of generators of invariant rings with such a property. 
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     author = {G\"obel, Manfred},
     title = {The {Optimal} {Lower} {Bound} for {Generators} of {Invariant} {Rings} without {Finite} {SAGBI} {Bases} with {Respect} to {Any} {Admissible} {Order}},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {3},
     number = {2},
     year = {1998-1999},
     doi = {10.46298/dmtcs.259},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.259/}
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Göbel, Manfred. The Optimal Lower Bound for Generators of Invariant Rings without Finite SAGBI Bases with Respect to Any Admissible Order. Discrete mathematics & theoretical computer science, Tome 3 (1998-1999) no. 2. doi : 10.46298/dmtcs.259. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.259/

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