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arXiv · 1510.03688

Local Moufang sets and PSL_2 over a local ring

Tom De Medts·Erik Rijcken
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Abstract

We introduce local Moufang sets as a generalization of Moufang sets. We present a method to construct local Moufang sets from only one root group and one permutation. We use this to describe $\mathsf{PSL}_2$ over a local ring as a local Moufang set, and give necessary and sufficient conditions for a local Moufang set to be of this form.

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Tom De Medts, Erik Rijcken. 2017-03-15. Local Moufang sets and PSL_2 over a local ring. https://doi.org/10.1515/jgth-2016-0007

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