Abstract
In the paper, the finite groups G are studied for which every invariant subgroup A has the property that |G: AC G (A)| divides a fixed prime p.
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References
T. M. Gagen, “Topics in Finite Groups” (Cambridge University Press, Cambridge-New York-Melbourne, 1976; translated in K Theory of Finite Groups, Mir, Moscow, 1979, pp. 13–97).
V. A. Antonov and S. G. Chekanov, “Finite p-groups with automorphism of a special form,” Algebra Logika 45(4), 379–389 (2006) [Algebra Logic 45 (4), 213–219 (2006)].
M. I. Kargapolov and Yu. I. Merzlyakov, Fundamentals of Group Theory, 4th ed. (Nauka, Moscow, 1996; translation from the 2nd Russian ed., Springer-Verlag, New York-Berlin, 1979).
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Original Russian Text © V. A. Antonov, T. G. Nozhkina, 2014, published in Matematicheskie Zametki, 2014, Vol. 95, No. 5, pp. 643–650.
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Antonov, V.A., Nozhkina, T.G. On finite groups with relatively large centralizers of invariant subgroups. Math Notes 95, 579–585 (2014). https://doi.org/10.1134/S0001434614050010
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DOI: https://doi.org/10.1134/S0001434614050010