Abstract
A description of parabolic subgroups of the group SL(n, R) over a local ring. Some intermediate subgroups are described for the case of a euclidean ring. It is noted that analogous results hold for GL(n, R).
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N. S. Romanovskii, “Maximal subrings of a field Q and maximal subgroups of the group SL(n, Q),” Algebra i Logika,6, No. 4, 75–82 (1967).
N. S. Romanovskii, “Subgroups between special linear groups over a ring and over a subring,” Matem. Zametki,6, No. 3, 335–345 (1969).
M. Newman and I. Reiner, “Inclusion theorems for congruence subgroups,” Trans. Amer. Math. Soc.,91, No. 3, 369–380 (1959).
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Translated from Matematicheskie Zametki, Vol. 9, No. 6, pp. 699–708, June, 1971.
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Romanovskii, N.S. Subgroups of general and special linear groups over a ring. Mathematical Notes of the Academy of Sciences of the USSR 9, 405–409 (1971). https://doi.org/10.1007/BF01094585
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DOI: https://doi.org/10.1007/BF01094585