# The Noether number of the non-abelian group of order 3p

Source: [The Noether number of the non-abelian group of order 3p](<https://www.sota2.com/research/paper/68fa4fb01e209131ce96547e>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T10:26:43.779Z

Authors: K. Cziszter

Published: 2012-05-25T22:37:21.000Z

## Abstract

It is proven that for any representation over a field of characteristic 0 of the non-abelian semidirect product of a cyclic group of prime order p and the group of order 3 the corresponding algebra of polynomial invariants is generated by elements of degree at most p+2. We also determine the exact degree bound for any separating system of the polynomial invariants of any representation of this group in characteristic not dividing 3p.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1205.5834>)

[PDF](<https://arxiv.org/pdf/1205.5834.pdf>)