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arXiv · 1908.02438

Finite group schemes of essential dimension one

Najmuddin Fakhruddin
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Abstract

We prove that if a finite group scheme $G$ over a field $k$ has essential dimension one, then it embeds in $PGL_{2/k}$. We use this to give an explicit classification of all infinitesimal group schemes of essential dimension one over any field and a characterisation of all finite group schemes of essential dimension one over algebraically closed fields.

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Najmuddin Fakhruddin. 2019-08-07. Finite group schemes of essential dimension one. https://arxiv.org/abs/1908.02438

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