Maximal orthogonal subgroups of finite unitary groups

Journal of Group Theory

Volumn 7, Issue 4, 2004, Pages 447-462

  Cossidente, Antonio ^a   King, Oliver H ^b  

^a UNIVERSITY OF BASILICATA   (Italy)

^b NEWCASTLE UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 6344270353     PISSN: 14335883     EISSN: None     Source Type: Journal    
DOI: 10.1515/jgth.2004.7.4.447     Document Type: Article

References (19)

1. M. Aschbacher. On the maximal subgroups of the finite classical groups. Invent. Math. 76 (1984), 469-514.
2. J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson. Atlas of finite groups (Clarendon Press, 1985).
3. A. Cossidente and O. H. King. On some maximal subgroups of unitary groups. Comm. Algebra, to appear.
4. A. Cossidente and O. H. King. Maximal subgroups of finite symplectic groups stabilizing spreads of lines. J. Algebra 258 (2002), 493-506.
5. A. Cossidente and O. H. King. On caps and cap partitions of Galois projective spaces. European J. Combin. 19 (1998), 787-799.
6. J. Dieudonné. Sur les groupes classiques. Actualités Sci. Indust. 1040 (Hermann, 1948).
7. R. H. Dye. On the maximality of the orthogonal groups in the symplectic groups in characteristic two. Math. Z. 172 (1980), 203-212.
8. G. L. Ebert and J. W. P. Hirschfeld. Complete systems of lines on a hermitian surface over a finite field. Des. Codes Cryptog. 17 (1999), 253-268.
9. R. Hill. Rank 3 permutation groups with a regular normal subgroup. Ph.D. thesis, University of Warwick (1971).
10. J. W. P. Hirschfeld. Finite projective spaces of three dimensions (Clarendon Press, 1991).
11. J. W. P. Hirschfeld and J. A. Thas. General Galois geometries (Clarendon Press, 1991).
12. O. H. King. Maximal subgroups of the classical groups associated with non-isotropic subspaces of a vector space. J. Algebra 73 (1981), 350-375.
13. O. H. King. On subgroups of the special linear group containing the special orthogonal group. J. Algebra 96 (1985), 178-193.
14. P. B. Kleidman and M. Liebeck. The subgroup structure of the finite classical groups. London Math. Soc. Lecture Note Ser. 129 (Cambridge University Press, 1990).
15. S. Z. Li. Overgroups in GL(n,F) of a classical group over a subfield of F. Algebra Colloq. 1 (1994), 335-346.
16. S. Z. Li. On the maximality of certain orthogonal groups embedded in symplectic and unitary groups, respectively. J. Math. Res. Exposition 3 (1983), 101-103.
17. S. Z. Li and J. G. Zha. On certain classes of maximal subgroups in projective special unitary groups over finite fields. Sci. Sinica Ser. A 2 (1982), 125-131.
18. H. H. Mitchell. Determination of the ordinary and modular ternary linear groups. Trans. Amer. Math. Soc. 12 (1911), 207-242.
19. B. Segre. Forme e geometrie Hermitiane con particolare riguardo al caso finito. Ann. Mat. Pura Appl. 70 (1965), 1-201.