Unipotent Classes in Bad Characteristic
摘要
In this chapter we solve the main conjugacy problems for unipotent elements of symplectic and orthogonal groups in characteristic 2. Many of the methods of Chapter 4 do not apply: there is no Cayley map between unipotent and nilpotent elements, nor is there a factorization of the centralizer of a unipotent element in a canonical parabolic subgroup. Hence, although we can exploit some features of the good characteristic case, our algorithms are more complicated.