References
E. L. Bashkirov, “On linear groups containing the special unitary group of nonzero index,” submitted to VINITI on August 7, 1985, No. 5897.
E. L. Bashkirov, “On linear groups containing a symplectic groups,” submitted to VINITI on April 11, 1986, No. 2616.
O. King, “On subgroups of the special linear group containing the special orthogonal groups,” J. Algebra,96, No. 1, 178–193 (1985).
Shangzhi Li, “Maximal subgroups in classical groups over arbitrary fields,” in: Arcata Conf. Represent. Finite Groups: Proc. Summer. Res. Inst. Arcata. Calif., July 7–25, 1986, Part 2, Providence R. I. (1987), pp. 487–493.
J. Diedonné, Geometry of Classical Groups [Russian translation], Mir, Moscow (1974).
E. L. Bashkirov, “Intermediate subgroups, connected with the extension of the main field, of linear groups” Cand. Dissertation, Minsk (1987).
E. L. Bashkirov, “On linear groups containing the commutator subgroup of an orthogonal group of index greater than 1,” in: Abstracts: International Conference on Algebra [in Russian], Novosibirsk (1991), p. 6.
Ya. N. Nuzhin, “On groups intermediate between Lie type groups over different fields,” Algebra i Logika,22, No. 5, 526–541 (1983).
A. E. Zalesskiî and V. N. Serezhkin, “Linear groups generated by transvections,” Izv. Akad. Nauk SSSR Ser. Mat.,40, No. 1, 26–49 (1976).
Additional information
Minsk. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 33, No. 5, pp. 15–21, September–October, 1992.
Translated by N. S. Dairbekov
Rights and permissions
About this article
Cite this article
Bashkirov, E.L. On linear groups containing the commutator subgroup of an orthogonal group of index greater than 1. Sib Math J 33, 754–759 (1992). https://doi.org/10.1007/BF00970984
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00970984