References
Clifford, A.H.: Representations induced in an invariant subgroup. Ann. of Math.38, 533–550 (1937)
Dickson, L.E., Linear groups. Reprint. New York: Dover 1958
Dieudonné, J.: Sur les groupes classiques (third ed.). Paris: Hermann 1967
Dieudonné, J.: La géométrie des groupes classiques (third ed.). Berlin Heidelberg New York: Springer 1971
Dye, R.H.: On the transitivity of the orthogonal and symplectic groups in projective space. Proc. Cambridge, Philos Soc.68, 33–43 (1970)
Dye, R.H.: On the Arf invariant. J. Algebra53, 36–39 (1978)
Dye, R.H.: Symmetric groups as maximal subgroups of orthogonal and symplectic groups over the field of two elements. J. London Math. Soc. (2),20, 227–237 (1979)
Hardy, G.H., Wright, E.M.: An introduction to the theory of numbers (fourth ed.). Oxford: Clarendon Press 1959
Kantor, W.M.: Classical groups from a non-classical viewpoint. Lecture Notes, Mathematics Institute, Oxford, 1978
Key, J.D.: Some maximal subgroups ofPSL(n, q), n≧3, q=2γ. Geometriae Dedicata4, 377–386 (1975); erratum, ibid6, 389 (1977)
Key, J.D.: Some maximal subgroups of certain projective unimodular groups. J. London Math. Soc. (2),19, 291–300 (1979)
King, O.H.: Some maximal subgroups of the classical groups. J. Algebra68, 109–120 (1981)
King, O.H.: Maximal subgroups of the classical groups associated with non-isotropic subspaces of a vector space. J. Algebra73, 350–375 (1981)
King, O.H.: Maximal subgroups of the orthogonal group over a field of characteristic two. J. Algebra76, 540–548 (1982)
King, O.H.: Imprimitive maximal subgroups of the general linear, special linear, symplectic and general symplectic groups. J. London Math. Soc. (2),25, 416–424 (1982)
King, O.H.: Imprimitive maximal subgroups of the orthogonal, special orthogonal, unitary and special unitary groups. Math. Z.182, 193–203 (1983)
Mitchell, H.H.: Determination of the ordinary and modular ternary linear groups. Trans. Amer. Math. Soc.12, 207–242 (1911)
Wagner, A.: Collineation groups generated by homologies of order greater than 2, Geometriae Dedicata7, 387–398 (1978)
Wagner, A.: Determination of the finite primitive reflection groups over an arbitrary field of characteristic not 2, Part I, Geometriae Dedicata9, 239–253 (1980)
—,ibid10, 191–203 (1981)
—,ibid10, 475–523 (1981)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Dye, R.H. Maximal subgroups of the finite orthogonal and unitary groups stabilizing anisotropic subspaces. Math Z 189, 111–129 (1985). https://doi.org/10.1007/BF01246947
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01246947