Maximal subgroups of finite symplectic groups stabilizing spreads of lines

Journal of Algebra

Volumn 258, Issue 2, 2002, Pages 493-506

  Cossidente, Antonio ^a   King, Oliver H ^b  

^a UNIVERSITY OF BASILICATA   (Italy)

^b NEWCASTLE UNIVERSITY   (United Kingdom)

Author keywords

Finite symplectic group; Finite unitary group; Line spread; Maximal subgroup

Indexed keywords

EID: 0037115950     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-8693(02)00639-7     Document Type: Article

References (18)

1. M. Aschbacher, On the maximal subgroups of the finite classical groups, Invent. Math. 76 (1984) 469-514.
2. N. Bourbaki, Algèbre, in: Actualités Sci. Indust., Vol. 1272, Hermann, Paris, 1959, Chapitre IX.
3. L.E. Dickson, Linear Groups, with an Exposition of the Galois Field Theory, Teubner, Leipzig, 1901.
4. J. Dieudonné, Sur les Groupes Classiques, in: Actualités Sci. Indust., Vol. 1040, Hermann, Paris, 1948.
5. J. Dieudonné, La Géometrie des Groupes Classiques, 2nd edition, Springer-Verlag, Berlin, New York, 1963.
6. R.H. Dye, Partitions and their stabilizers for line complexes and quadrics, Ann. Mat. Pura Appl. 4 114 (1977) 173-194.
7. m) related to a spread, J. Algebra 84 (1983) 128-135.
8. R.H. Dye, Maximal subgroups of symplectic groups stabilizing spreads, J. Algebra 87 (1984) 493-509.
9. 6n(q) stabilizing spreads of totally isotropic planes, J. Algebra 99 (1986) 191-209.
10. R.H. Dye, Maximal subgroups of finite orthogonal groups stabilizing spreads of lines, J. London Math. Soc. (2) 33 (1986) 279-293.
11. R.H. Dye, Maximal subgroups of symplectic groups stabilizing spreads II, J. London Math. Soc. 40 (1989) 215-226.
12. J.W.P. Hirschfeld, Finite Projective Spaces of Three Dimensions, Oxford University Press, Oxford, 1985.
13. O.H. King, Maximal subgroups of the classical groups associated with non-isotropic subspaces of a vector space, J. Algebra 73 (2) (1981) 350-375.
14. P.B. Kleidman, M. Liebeck, The Subgroup Structure of the Finite Classical Groups, in: London Math. Soc. Lecture Note Series, Vol. 129, Cambridge University Press, Cambridge, 1990.
15. H.H. Mitchell, The subgroups of the quaternary abelian linear group, Trans. Amer. Math. Soc. 15 (1914) 377-396.
16. B. Segre, Forme e geometrie hermitiane con particolare riguardo al caso finito, Ann. Mat. Pura Appl. (4) 70 (1965) 1-201.
17. T. Tamagawa, On the structure of orthogonal groups, Amer. J. Math. 80 (1958) 191-197.
18. J.A. Todd, As it might have been, Bull. London Math. Soc. 2 (1970) 1-4.