In [[mathematics|mathematical]]Group [[finitetheory#Finite group theory|finite group theory]], a branch of [[group theorymathematics]], a '''Thompson factorization''', introduced by {{harvs|txt|authorlink=John G. Thompson|year=1966|last=Thompson}}, is an expression of some [[finite groupsgroup]]s as a product of two [[subgroupssubgroup]]s, usually [[centralizer and normalizer|normalizers]] or [[centralizer and normalizer|centralizers]] of [[p-group|''p''-subgroups]] for some [[prime number|prime]] ''p''.