On supersoluble groups
Problemy fiziki, matematiki i tehniki, no. 2 (2014), pp. 42-45
Cet article a éte moissonné depuis la source Math-Net.Ru
The characterization of supersolvable groups with generalized subnormal subgroups is given.
Mots-clés :
formation, soluble group
Keywords: Sylow subgroup, critical subgroup, Frattini subgroup, generelized subnormal subgroup.
Keywords: Sylow subgroup, critical subgroup, Frattini subgroup, generelized subnormal subgroup.
@article{PFMT_2014_2_a6,
author = {V. F. Veliasnitski},
title = {On supersoluble groups},
journal = {Problemy fiziki, matematiki i tehniki},
pages = {42--45},
year = {2014},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/PFMT_2014_2_a6/}
}
V. F. Veliasnitski. On supersoluble groups. Problemy fiziki, matematiki i tehniki, no. 2 (2014), pp. 42-45. http://geodesic.mathdoc.fr/item/PFMT_2014_2_a6/
[1] O. H. Kegel, “Untergruppenverbande endlicher Gruppen, die Subnormalteilorverband echt enthalten”, Arch. Math., 30 (1978), 225–228 | DOI | MR | Zbl
[2] T. I. Vasileva, A. I. Prokopenko, O konechnykh gruppakh s $\mathfrak{F}$-dostizhimymi silovskimi podgruppami, Preprint No 4, Gomelskii gos. un-t im. F. Skoriny, Gomel, 2006, 18 pp. | Zbl
[3] C. N. Shevchuk, V. N. Cemenchuk, “Konechnye gruppy s obobschenno subnormalnymi podgruppami”, Problemy fiziki, matematiki i tekhniki, 2010, no. 4 (5), 57–60 | Zbl
[4] L. A. Shemetkov, Formatsii konechnykh grupp, Nauka, M., 1978, 272 pp. | MR | Zbl
[5] K. Döerk, “Minimal nicht Uberauflosbare, endliche Gruppen”, Math. Z., 91 (1966), 198–205 | DOI | MR | Zbl