有限域上奇异正交群的Sylow子群及其性质

Sylow subgroups and its properties of singular orthogonal group over finite fiels

设Fq 表示特征p(p≠ 2 )的q元有限域 ,q =pα,p为奇素数 .给出了Fq 上奇异正交群O2v +t(Fq)

Let F q be finite field of characteristic p(p≠2) with q elements, where q=p α and p an odd prime. The authors study the structure of Sylow subgroup of singular orthogonal group O 2v+t (F q) and discuss the properties of their normalizers.