Local Moufang sets and PSL2 over a local ring

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 PSL2 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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