Supplements to normal subgroups of finite groups
Algebra i logika, Tome 52 (2013) no. 1, pp. 109-119.

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

At the Kiev algebra seminar held in 1970, S. N. Chernikov came up with a proposal for a more thorough study of the influence of minimal supplements on properties of normal subgroups. The present paper deals with just this issue.
Keywords: finite group, supplement, normal subgroup, normally hereditary formation.
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L. A. Shemetkov. Supplements to normal subgroups of finite groups. Algebra i logika, Tome 52 (2013) no. 1, pp. 109-119. http://geodesic.mathdoc.fr/item/AL_2013_52_1_a8/

[1] L. A. Shemetkov, “Dopolneniya i dobavleniya k normalnym podgruppam konechnykh grupp”, Ukr. matem. zh., 23:5 (1971), 678–689 | Zbl

[2] P. Roquette, “Über die Existenz von Hall-Komplementen in endlichen Gruppen”, J. Algebra, 1 (1964), 342–346 | DOI | MR | Zbl

[3] Kh. A. Al-Sharo, E. A. Molokova, L. A. Shemetkov, “Factorizable groups and formations”, Acta Appl. Math., 85:1–3 (2005), 3–10 | DOI | MR | Zbl

[4] O. Shemetkova, “Finite groups with a system of generalized central elements”, Algebra Discrete Math., 2004, no. 4, 66–78 | MR | Zbl

[5] B. Huppert, Endliche Gruppen, Nachdr. d. 1. Aufl., v. I, Grundlehren mathem. Wiss. Einzeldarstel., 134, Springer-Verlag, Berlin a.o., 1967 | DOI | MR | Zbl

[6] K. Doerk, T. Hawkes, Finite soluble groups, De Gruyter Expo. Math., 4, W. de Gruyter, Berlin etc., 1992 | MR | Zbl

[7] L. A. Shemetkov, “O suschestvovanii $\Pi$-dopolnenii k normalnym podgruppam konechnykh grupp”, DAN SSSR, 195:1 (1970), 50–52 | Zbl

[8] Ya. G. Berkovich, “Degrees of irreducible characters, and the normal structure of finite groups”, Publ. Math. Debrecen, 37:3–4 (1990), 339–343 | MR | Zbl

[9] M. Suzuki, Group Theory, v. II, Grundlehren Mathem. Wiss., 248, Springer-Verlag, New York etc., 1986 | DOI | MR | Zbl