Abelian Unipotent Subgroups of Finite Unitary and Symplectic Groups

Journal of the Australian Mathematical Society

W. J. Wong¹ 

关键词: 20 G 40;   

DOI  :  10.1017/S1446788700018759

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

If G is the unitary group U(V) or the symplectic group Sp(V) of a vector space V over a finite field of characteristic p, and r is a positive integer, we determine the abelian p-subgroups of largest order in G whose fixed subspaces in V have dimension at least r, with the restriction that we assume p ≠ 2 in the symplectic case. In particular, we determine the abelian subgroups of largest order in a Sylow p-subgroup of G. Our results complement earlier work on general linear and orthogonal groups.

【 授权许可】

Unknown