journal article May 01, 1988

Subgroups of split orthogonal groups

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References
25
[1]
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). 10.1007/bf01091757
[2]
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).
[3]
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).
[4]
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).
[5]
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). 10.1007/bf01094367
[6]
N. A. Vavilov, “Bruhat decomposition of one-dimensional transformations,” Vestn. Leningr. Gos. Univ., Ser. 1, No. 3, 14–20 (1986).
[7]
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). 10.1007/bf01094368
[8]
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).
[9]
G. M. Seitz, “Subgroups of finite groups of Lie type,” J. Algebra,61, No. 1, 16–27 (1979). 10.1016/0021-8693(79)90302-8
[10]
Z. I. Borevich, “On parabolic subgroups in linear groups over a semilocal ring,” Vestn. Leningr. Gos. Univ., No. 13, 16–24 (1976).
[11]
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).
[12]
N. A. Vavilov and E. B. Plotkin, “Net subgroups of Chevalley groups,” J. Sov. Math.,19, No. 1 (1982);27, No. 4 (1984). 10.1007/bf01476112
[13]
K. Suzuki, “On parabolic subgroups of Chevalley groups over local rings,” Tohoku Math. J.,28, No. 1, 57–66 (1976). 10.2748/tmj/1178240878
[14]
N. A. Vavilov, “On parabolic subgroups of Chevalley groups over a semilocal ring,” J. Sov. Math.,37, No. 2 (1987). 10.1007/bf01089086
[15]
V. A. Koibaev, “Examples of nonmonomial linear groups without transvections,” J. Sov. Math.,20, No. 6 (1982). 10.1007/bf01681476
[16]
A. Borel and J. Tits, “Reductive groups,” Matematika: Sb. perevodov,11, No. 1, 43–111; No. 2, 3–31 (1967).
[17]
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.
[18]
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).
[19]
O. King, “On subgroups of the special linear group containing the special orthogonal group,” J. Algebra,96, No. 1, 178–193 (1985). 10.1016/0021-8693(85)90045-6
[20]
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). 10.1007/bf01465450
[21]
E. V. Dybkova, “Index of a net subgroup in a symplectic group over a Dedekind ring,” J. Sov. Math.,37, No. 2 (1987). 10.1007/bf01089089
[22]
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.
[23]
O. King, “On some maximal subgroups of the classical groups,” J. Algebra,68, No. 1, 109–120 (1981). 10.1016/0021-8693(81)90288-x
[24]
O. King, “Maximal subgroups of the classical groups associated with nonisotropic subspaces of a vector space,” J. Algebra,73, No. 2, 350–375 (1981). 10.1016/0021-8693(81)90327-6
[25]
O. King, “Maximal subgroups of the orthogonal group over a field of characteristic two,” J. Algebra,76, No. 2, 540–548 (1982). 10.1016/0021-8693(82)90231-9
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Published
May 01, 1988
Vol/Issue
29(3)
Pages
341-352
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N. A. Vavilov (1988). Subgroups of split orthogonal groups. Siberian Mathematical Journal, 29(3), 341-352. https://doi.org/10.1007/bf00969641