Geodesic
On Finite Groups with Relatively Large Centralizers of Invariant Subgroups
Matematičeskie zametki, Tome 95 (2014) no. 5, pp. 643-650.

Voir la notice de l'article provenant de la source Math-Net.Ru

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 $p$.
Keywords: finite group, invariant subgroup, centralizer, nilpotent group.
Mots-clés : outer automorphism, solvable group 
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V. A. Antonov; T. G. Nozhkina. On Finite Groups with Relatively Large Centralizers of Invariant Subgroups. Matematičeskie zametki, Tome 95 (2014) no. 5, pp. 643-650. http://geodesic.mathdoc.fr/item/MZM_2014_95_5_a0/

[1] T. M. Gagen, “Nekotorye voprosy teorii konechnykh grupp”, K teorii konechnykh grup, Novoe v zarubezhnoi nauke. Matematika, 16, Mir, M., 1979, 13–97

[2] V. A. Antonov, S. G. Chekanov, “Konechnye $p$-gruppy s avtomorfizmom spetsialnogo vida”, Algebra i logika, 45:4 (2006), 379–389 | MR | Zbl

[3] M. I. Kargapolov, Yu. I. Merzlyakov, Osnovy teorii grupp, Nauka, M., 1996 | MR