Simple finite group schemes and their infinitesimal deformations

Details Simple finite group schemes and their infinitesimal deformations Simple finite group schemes and their infinitesimal deformations

2008-11-17

arxiv.org/abs/0811.2668v2

Rend. Sem. Mat. Univ. Politec. Torino Vol. 68 (2010), 171--182

Mathematics

Algebraic Geometry

11 pages, survey paper. Final version, to appear on Rend. Sem. Mat. Univ. Pol. Torino

Scientific paper

We show that the classification of simple finite group schemes over an algebraically closed field reduces to the classification of abstract simple finite groups and of simple restricted Lie algebras in positive characteristic. Both these two simple objects have been classified. We review this classification. Finally, we address the problem of determining the infinitesimal deformations of simple finite group schemes.

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