摘要
确定了具有任意特征的有限域上一类Chevalley群的Borel子群(?)的自同构,并且证明了(?)的自同构群是有限可解完全群。
Let F be a finite field and L a complex simple Lie algebra,Let L(F) be the adjoint Chevalley group of type L over F and U, itsimpotent subgroup generated by the positive root subgroups. We denoteby L_F the Chevalley algebra associated to L and F, and regard L(F) asa subgroup of Aut L_F,Let H be the subgroup of Aut L_F consisting of alldiagonal automorphisms of L_F and B=<U, H>, the standard parabolicsubgroup of the Chevalley group <L(F), H>, We assume that |F|>3with the exception: |F|>4 if L=B_2 and charF =2 or L=G_2, In thispaper we show that any automorphism of B can be expressed as the pro-duct of a field,a graph and an inner automorphism of B, and that theautomorphism group of B is, a finite solvable complete group.
出处
《湘潭大学自然科学学报》
CAS
CSCD
1991年第1期12-19,共8页
Natural Science Journal of Xiangtan University
