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

VIVIANI F (2010). Simple finite group schemes and their infinitesimal deformations. RENDICONTI DEL SEMINARIO MATEMATICO, 68, 171-182.

Simple finite group schemes and their infinitesimal deformations

VIVIANI, FILIPPO
2010

Abstract

We show that the classification of simple finite group schemes over an alge- braically closed field reduces to the classification of abstract simple finite groups and of simple restricted Lie algebras in positive characteristic. Both these simple objects have been classified. We review this classification. Finally, we address the problem of determining the infinitesimal deformations of simple finite group schemes.
VIVIANI F (2010). Simple finite group schemes and their infinitesimal deformations. RENDICONTI DEL SEMINARIO MATEMATICO, 68, 171-182.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11590/143408
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