Geodesic
On the structure of $p$-schemes
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XV, Tome 344 (2007), pp. 190-202 
I. N. Ponomarenko; A. Rahnamai Barghi. On the structure of $p$-schemes. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XV, Tome 344 (2007), pp. 190-202. http://geodesic.mathdoc.fr/item/ZNSL_2007_344_a4/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

We introduce and study an analog of $p$-groups in general scheme theory. It is proved that a scheme is a $p$-scheme if and only if so is each homogeneous component of it. Moreover, the automorphism group of a $p$-scheme is a $p$-group, and the $2$-orbit scheme of a permutation group $G$ is a $p$-scheme if and only if $G$ is a $p$-group. Both of these statements follow from the fact that the class of $p$-schemes is closed with respect to extensions.

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