On some maximal subgroups of unitary groups

被引:9
作者
Cossidente, A
King, OH
机构
[1] Univ Basilicata, Dipartimento Matemat, I-85100 Potenza, Italy
[2] Univ Newcastle Upon Tyne, Dept Math, Newcastle Upon Tyne NE1 7RU, Tyne & Wear, England
关键词
symplectic group; unitary group; maximal subgroup; permutable polarities;
D O I
10.1081/AGB-120027962
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The maximality of certain symplectic subgroups of unitary groups PSUn(K), n greater than or equal to 4, (K any field admitting a non-trivial involutory automorphism) belonging to the class l(5) of Aschbacher is proved. Furthermore some related geometry in the case n = 4 and K finite is investigated.
引用
收藏
页码:989 / 995
页数:7
相关论文
共 20 条
[1]   Complete spans on Hermitian varieties [J].
Aguglia, A ;
Cossidente, A ;
Ebert, GL .
DESIGNS CODES AND CRYPTOGRAPHY, 2003, 29 (1-3) :7-15
[2]  
AGUGLIA A, UNPUB PAIRS PERMUTAB
[3]   ON THE MAXIMAL-SUBGROUPS OF THE FINITE CLASSICAL-GROUPS [J].
ASCHBACHER, M .
INVENTIONES MATHEMATICAE, 1984, 76 (03) :469-514
[4]  
Brower A.E., 1989, DISTANCE REGULAR GRA
[5]   Maximal subgroups of finite symplectic groups stabilizing spreads of lines [J].
Cossidente, A ;
King, OH .
JOURNAL OF ALGEBRA, 2002, 258 (02) :493-506
[6]  
DIEUDONNE J, 1963, GEOMETRIE GROUPES CL
[7]  
Dieudonne: J., 1948, Sur les groupes classiques
[8]  
DYE RH, 1986, J LOND MATH SOC, V33, P279
[9]   MAXIMAL SUBGROUPS OF PSP4(2N) CONTAINING CENTRAL ELATIONS OR NONCENTERED SKEW ELATIONS [J].
FLESNER, DE .
ILLINOIS JOURNAL OF MATHEMATICS, 1975, 19 (02) :247-268
[10]  
KING OH, 1989, P INT C ALG 1, V131, P209