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On subgroups of a special linear group containing the group of diagonal matrices. IV. (English. Russian original) Zbl 0687.20040

Vestn. Leningr. Univ., Math. 21, No. 3, 7-15 (1988); translation from Vestn. Leningr. Univ., Ser. I 1988, No. 3, 10-15 (1988).
[Part III, cf. ibid. 20, No.2, 1-8 (1987); translation from ibid. 1987, No.2, 3-8 (1987; Zbl 0632.20029).]
The paper under review completes the proof of the theorem which describes subgroups \(H\subset SL(n,K)\) containing the group of all diagonal matrices with determinant 1. Here K is a field with at least 7 elements and \(n\geq 3\). The explicit statement of the theorem can be found in the review Zbl 0594.20033 of the first part of the paper [see ibid. 18, No.4, 3-7 (1985); translation from ibid. 1985, No.4, 3-7 (1985)].
Reviewer: A.E.Zalesskij

MSC:

20G15 Linear algebraic groups over arbitrary fields
20E07 Subgroup theorems; subgroup growth