# A description of the outer automorphism of \(S_6\), and the invariants of six points in projective space

- Published in 2008
- Added on

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We use a simple description of the outer automorphism of \(S_6\) to cleanly describe the invariant theory of six points in \(\mathbb{P}^1\), \(\mathbb{P}^2\), and \(\mathbb{P}^3\).

## Comment

The nobbly wobbly toy is based on this.

## Links

### BibTeX entry

@article{AdescriptionoftheouterautomorphismofS6andtheinvariantsofsixpointsinprojectivespace, title = {A description of the outer automorphism of \(S{\_}6\), and the invariants of six points in projective space}, author = {Ben Howard and John Millson and Andrew Snowden and Ravi Vakil}, url = {https://www.sciencedirect.com/science/article/pii/S0097316508000125 http://math.stanford.edu/{\~{}}vakil/files/sixjan2308.pdf}, urldate = {2018-05-14}, year = 2008, abstract = {We use a simple description of the outer automorphism of \(S{\_}6\) to cleanly describe the invariant theory of six points in \(\mathbb{\{}P{\}}^1\), \(\mathbb{\{}P{\}}^2\), and \(\mathbb{\{}P{\}}^3\).}, comment = {The nobbly wobbly toy is based on this.}, collections = {Things to make and do,The groups group} }