Cartan subgroups and generosity in $SL_2(\mathbb{Q}_p)$

Benjamin Druart (1)

1 IF - Institut Fourier

We describe all Cartan subgroups of $SL_2(\mathbb{Q}_p)$. We show that the Cartan subgroup consisting of all diagonal matrices is generous and it is the only one up to conjugacy.

Mots clés: p-adic field; Cartan subgroup; generosity

Domaines: Logique [math.LO]; Théorie des groupes [math.GR]

Benjamin Druart. Cartan subgroups and generosity in $SL_2(\mathbb{Q}_p)$. 2013. ⟨hal-00806561v1⟩