Geodesic
On the construction of $\pi$-Schunk classes of finite $\pi$-soluble groups
Problemy fiziki, matematiki i tehniki, no. 2 (2014), pp. 38-41.

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A series of $\pi$-soluble normalizer subgroup functors is given in this work. New examples of $\pi$-Schunk classes of finite $\pi$-soluble groups are constructed.
Keywords: finite group, $\pi$-Schunk class, normalizer subgroup functor.
Mots-clés : $\pi$-soluble group 
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T. I. Vasil'eva; A. I. Prokopenko. On the construction of $\pi$-Schunk classes of finite $\pi$-soluble groups. Problemy fiziki, matematiki i tehniki, no. 2 (2014), pp. 38-41. http://geodesic.mathdoc.fr/item/PFMT_2014_2_a5/

[1] A. N. Skiba, Algebra formatsii, Belarusskaya navuka, Mn., 1997, 240 pp. | MR | Zbl

[2] S. F. Kamornikov, M. V. Selkin, Podgruppovye funktory i klassy konechnykh grupp, Bel. navuka, Minsk, 2003, 254 pp.

[3] A. F. Vasilev, T. I. Vasileva, “Normalizatornye podgruppovye funktory konechnykh grupp”, Vestnik BGU. Seriya 1, 2006, no. 1, 92–96

[4] A. Mann, “On subgroups of finite soluble groups, III”, Israel J. Math., 16:4 (1973), 446–451 | DOI

[5] Shemetkov L. A., Formatsii konechnykh grupp, Nauka, M., 1978, 272 pp. | MR | Zbl

[6] K. Doerk, T. Hawkes, Finite Soluble Groups, Walter de Gruyter, Berlin–New York, 1992, 892 pp. | MR

[7] R. W. Carter, “Nilpotent self-normalizing subgroups and system normalizers”, Proc. London Math. Soc., 3:12 (1962), 535–563 | DOI | MR | Zbl