Suzuki and Ree groups
In simple Suzuki groups 2 B 2 ( q ), q > 2 and Ree groups 2 F 4 ( q ), q > 2 and 2 G 2 ( q ), q > 3 the class of an element x is kthulhu if and only if G = 2 B 2 ( q ) and | x | =2 or | x | divides q 2 +1; G = 2 F 4 ( q ) and | x | = 13 and divides q 4 − q 2 +1; G = 2 G 2 ( q ) and | x | =3 or | x | = 7 and divides q 2 − q +1 . However, dim B ( V ) = ∞ for every complex Yetter-Drinfeld module V of G a simple Suzuki or Ree group. Thus, the only finite-dimensional complex pointed Hopf algebras whose group of grouplikes is G are their group algebras C G .