On the Noether bound for noncommutative rings

Ferraro, Luigi; Kirkman, Ellen; Moore, W.; Peng, Kewen

doi:10.1090/proc/15092

On the Noether bound for noncommutative rings
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by Luigi Ferraro, Ellen Kirkman, W. Frank Moore and Kewen Peng PDF

Proc. Amer. Math. Soc. 149 (2021), 2711-2725 Request permission

Abstract:

We present two noncommutative algebras over a field of characteristic zero that each possesses a family of actions by cyclic groups of order $2n$, represented in $2 \times 2$ matrices, requiring generators of degree $3n$.

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