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Irreducible Abelian groups of automorphisms of an Abelian group, and primitive solvable permutation groups
Izvestiya. Mathematics, Tome 44 (1995) no. 2, pp. 395-402 Cet article a éte moissonné depuis la source Math-Net.Ru

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This paper deals with primitive permutation groups, the stabilizer of each of which contains a normal abelian subgroup acting irreducibly on a nonidentity normal abelian subgroup of the whole group. 
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K. K. Shchukin. Irreducible Abelian groups of automorphisms of an Abelian group, and primitive solvable permutation groups. Izvestiya. Mathematics, Tome 44 (1995) no. 2, pp. 395-402. http://geodesic.mathdoc.fr/item/IM2_1995_44_2_a9/

[1] R. Baer, “Irreducible gropa of automorphisms of abelian groups”, Pacif. J. Math., 14:2 (1964), 385–405 | MR

[2] B. I. Plotkin, Gruppy avtomorfizmov algebraicheskikh sistem, Nauka, M., 1966 | MR | Zbl

[3] D. A. Suprunenko, Gruppy matrits, Nauka, M., 1972 | MR

[4] K. K. Schukin, “Neprivodimye abelevy gruppy avtomorfizmov abelevoi gruppy i primitivnye razreshimye gruppy perestanovok”, Dokl. RAN, 328:2 (1993), 157–159 | Zbl

[5] Ch. K. Sims, “Vychislitelnye metody v izuchenii grupp perestanovok”, Vychisleniya v algebre i teorii chisel, Mir, M., 1976, 129–147

[6] N. Dzhekobson, Stroenie kolets, IL, M., 1961