Literature Cited
Z. I. Borevich, “Description of the subgroups of the general linear group containing the group of diagonal matrices,” J. Sov. Math.,17, No. 2 (1981).
Z. I. Borevich and N. A. Vavilov, “Subgroups of the general linear group over a semilocal ring, containing the group of diagonal matrices,” Trudy Mat. Inst. Steklov, Akad. Nauk SSSR,148, 43–57 (1978).
N. A. Vavilov, “On subgroups of the general linear group over a semilocal ring, containing the group of diagonal matrices,” Vestn. Leningr. Gos. Univ., No. 1, 10–15 (1981).
N. A. Vavilov, “On conjugacy of subgroups of the general linear group containing the group of diagonal matrices,” Usp. Mat. Nauk,34, No. 5, 216–217 (1979).
N. A. Vavilov, “The Bruhat decomposition for subgroups containing the group of diagonal matrices,” J. Sov. Math.,24, No. 4 (1984);27, No. 4 (1984).
N. A. Vavilov, “Bruhat decomposition of one-dimensional transformations,” Vestn. Leningr. Gos. Univ., Ser. 1, No. 3, 14–20 (1986).
N. A. Vavilov and E. V. Dybkova, “Subgroups of the general symplectic group containing the group of diagonal matrices,” J. Sov. Math.,24, No. 4 (1984);30, No. 1 (1985).
N. A. Vavilov, “Subgroups of split orthogonal groups in even dimensions,” Bull. Acad. Polon. Sci. Ser. Sci. Math.,29, Nos. 9/10, 425–429 (1981).
G. M. Seitz, “Subgroups of finite groups of Lie type,” J. Algebra,61, No. 1, 16–27 (1979).
Z. I. Borevich, “On parabolic subgroups in linear groups over a semilocal ring,” Vestn. Leningr. Gos. Univ., No. 13, 16–24 (1976).
Z. I. Borevich and N. A. Vavilov, “Distribution of subgroups in the general linear group over a commutative ring,” Trudy Mat. Inst. Steklov. Akad. Nauk SSSR,165, 24–42 (1984).
N. A. Vavilov and E. B. Plotkin, “Net subgroups of Chevalley groups,” J. Sov. Math.,19, No. 1 (1982);27, No. 4 (1984).
K. Suzuki, “On parabolic subgroups of Chevalley groups over local rings,” Tohoku Math. J.,28, No. 1, 57–66 (1976).
N. A. Vavilov, “On parabolic subgroups of Chevalley groups over a semilocal ring,” J. Sov. Math.,37, No. 2 (1987).
V. A. Koibaev, “Examples of nonmonomial linear groups without transvections,” J. Sov. Math.,20, No. 6 (1982).
A. Borel and J. Tits, “Reductive groups,” Matematika: Sb. perevodov,11, No. 1, 43–111; No. 2, 3–31 (1967).
N. A. Vavilov, “On subgroups of the extended Chevalley groups containing a maximal torus,” 16th All-Union Algebra Conference. Abstracts of Lectures, Vol. I, LOMI, Leningrad (1981), pp. 26, 27.
N. A. Vavilov, “On subgroups of the special linear group containing the group of diagonal matrices,” Vestn. Leningr. Gos. Univ., No. 22, 3–7 (1985); ibid. N. A. Vavilov, “On subgroups of the special linear group containing the group of diagonal matrices, ”Vestn. Leningr. Gos. Univ., Ser. 1, No. 2, 10–15 (1986).
O. King, “On subgroups of the special linear group containing the special orthogonal group,” J. Algebra,96, No. 1, 178–193 (1985).
Z. I. Borevich, E. V. Dybkova, and L. Yu. Kolotilina, “On conjugacy of net subgroups in linear groups,” J. Sov. Math.,17, No. 4 (1981).
E. V. Dybkova, “Index of a net subgroup in a symplectic group over a Dedekind ring,” J. Sov. Math.,37, No. 2 (1987).
N. A. Vavilov, “Maximal subgroups of Chevalley groups, containing a maximal split torus,” in: Rings and Modules. Limit Theorems of Probability Theory, Part I [in Russian], Leningrad State Univ. (1986), pp. 67–75.
O. King, “On some maximal subgroups of the classical groups,” J. Algebra,68, No. 1, 109–120 (1981).
O. King, “Maximal subgroups of the classical groups associated with nonisotropic subspaces of a vector space,” J. Algebra,73, No. 2, 350–375 (1981).
O. King, “Maximal subgroups of the orthogonal group over a field of characteristic two,” J. Algebra,76, No. 2, 540–548 (1982).
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Leningrad. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 29, No. 3, pp. 12–25, May–June, 1988.
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Vavilov, N.A. Subgroups of split orthogonal groups. Sib Math J 29, 341–352 (1988). https://doi.org/10.1007/BF00969641
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DOI: https://doi.org/10.1007/BF00969641