# 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.

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### 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}
}