On twisted tensor product group embeddings and the spin representation of symplectic groups

Antonio Cossidente, Oliver H King
2007 Advances in Geometry  
We describe an alternative perspective for at least some of the subgroups in Aschbacher's class C 9 . Then we show that under the twisted tensor product embedding of the groups P Sp 2 (q t ) and P Sp 4 (q t ) in orthogonal groups over GF (q), t ≥ 3, q ≥ 4 even, an intermediate embedding of type C 3 occurs.
doi:10.1515/advgeom.2007.004 fatcat:gm7gc2kb2jahhgqvc4yx7tmaru