UNEXPECTED SUBGROUP SCHEMES OF PGL 2,k IN CHARACTERISTIC 2
Idioma
en
Document de travail - Pré-publication
Resumen en inglés
If the characteristic of a field $k$ is odd any infinitesimal group scheme of $PGL_{2,k}$ lifts to $SL_{2,k}$. In this paper, we prove that this is not true in characteristic $2$ and we give a complete description, up to ...Leer más >
If the characteristic of a field $k$ is odd any infinitesimal group scheme of $PGL_{2,k}$ lifts to $SL_{2,k}$. In this paper, we prove that this is not true in characteristic $2$ and we give a complete description, up to isomorphism, of infinitesimal unipotent subgroup schemes of $PGL_{2,k}$. Also, the infinitesimal trigonalizable case is considered.< Leer menos
Palabras clave en inglés
infinitesimal group schemes
actions of group schemes
Orígen
Importado de HalCentros de investigación