The connected component of the identity, G.
The component group of G.
The field over which G splits.
BaseRing(G) : GrpRed -> Fld
The field of definition of G.
A string concatenating the Cartan types of all simple factors and tori
of the connected component of G.
The inner form corresponding to the i-th simple factor.
The inner forms defining the simple factors of G.
Degree(G) : GrpRed -> RngIntElt
Returns n such that G embeds into GLn through the
representation via its inner forms.
The rank of G.
Returns true iff G is connected.
Returns true iff G is an orthogonal group.
Returns true iff G is a special orthogonal group.
Returns true iff G is a symplectic group.
Returns true iff G is a unitary group.
Returns true iff G is a compact form. Only relevant for
groups defined over number fields.
V2.29, 21 October 2025