Mots-clés : formation
@article{PFMT_2018_1_a9,
author = {S. F. Kamornikov and O. L. Shemetkova},
title = {On $\mathfrak{F}$-subnormal subgroups of a finite factorised group},
journal = {Problemy fiziki, matematiki i tehniki},
pages = {61--63},
year = {2018},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/PFMT_2018_1_a9/}
}
S. F. Kamornikov; O. L. Shemetkova. On $\mathfrak{F}$-subnormal subgroups of a finite factorised group. Problemy fiziki, matematiki i tehniki, no. 1 (2018), pp. 61-63. http://geodesic.mathdoc.fr/item/PFMT_2018_1_a9/
[1] H. Wielandt, “Eine Verallgemeinerung der invarianten Untergruppen”, Math. Z., 45 (1939), 209–244 | DOI | MR
[2] R. Maier, “Um problema da teoria dos subgrupos subnormais”, Bol. Soc. Brasil Mat., 8:2 (1977), 127–130 | DOI | MR | Zbl
[3] H. Wielandt, “Subnormalität in faktorisierten endlichen Gruppen”, J. Algebra, 69:2 (1981), 305–311 | DOI | MR | Zbl
[4] R. Carter, T. Hawkes, “The $\mathfrak{F}$-normalizers of a finite soluble group”, J. Algebra, 5:2 (1967), 175–202 | DOI | MR | Zbl
[5] O.H. Kegel, “Untergruppenverbände endlicher Gruppen, die den Subnormalteilerverband echt enthalten”, Arch. Math., 30:3 (1978), 225–228 | DOI | MR | Zbl
[6] S.F. Kamornikov, “$\mathfrak{F}$-Dostizhimost v faktorizuemykh gruppakh”, Voprosy algebry, 1995, no. 8, 65–67
[7] S.F. Kamornikov, M.V. Selkin, Podgruppovye funktory i klassy konechnykh grupp, Belorus. nauka, Minsk, 2003, 256 pp.
[8] A. Ballester-Bolinches, L.M. Ezquerro, Classes of finite groups, Springer, Dordrecht, 2006, 385 pp. | MR | Zbl
[9] J.C. Lennox, S.E. Stonehewer, Subnormal subgroups of groups, Clarendon Press, Oxford, 1987, 348 pp. | MR | Zbl
[10] L.A. Shemetkov, Formatsii konechnykh grupp, Nauka, M., 1978, 272 pp.
[11] A.N. Skiba, “O $\sigma$-svoistvakh konechnykh grupp I”, Problemy fiziki, matematiki i tekhniki, 2014, no. 4(21), 89–96