@article{PFMT_2019_4_a7,
author = {R. V. Borodich},
title = {On intersection of abnormal $A$-admissible subgroups with index restriction that do not contain a $\mathfrak{F}$-residual},
journal = {Problemy fiziki, matematiki i tehniki},
pages = {39--43},
year = {2019},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/PFMT_2019_4_a7/}
}
TY - JOUR
AU - R. V. Borodich
TI - On intersection of abnormal $A$-admissible subgroups with index restriction that do not contain a $\mathfrak{F}$-residual
JO - Problemy fiziki, matematiki i tehniki
PY - 2019
SP - 39
EP - 43
IS - 4
UR - http://geodesic.mathdoc.fr/item/PFMT_2019_4_a7/
LA - ru
ID - PFMT_2019_4_a7
ER -
R. V. Borodich. On intersection of abnormal $A$-admissible subgroups with index restriction that do not contain a $\mathfrak{F}$-residual. Problemy fiziki, matematiki i tehniki, no. 4 (2019), pp. 39-43. http://geodesic.mathdoc.fr/item/PFMT_2019_4_a7/
[1] G. Frattini, “Intorno alla generasione dei gruppi di operazioni”, Atti Acad. Dei Lincei, 1 (1885), 281–285
[2] W. Gaschütz, “Über die $\Phi$-Untergruppen endlicher Gruppen”, Math. Z., 58 (1953), 160–170 | DOI | MR | Zbl
[3] W.E. Deskins, “A condition for the solvability of a finite group”, III. J. Math., 5:2 (1961), 306–313 | MR | Zbl
[4] L.A. Shemetkov, Formatsii konechnykh grupp, Nauka, M., 1978, 267 pp.
[5] M.V. Selkin, Maksimalnye podgruppy v teorii klassov konechnykh grupp, Belaruskaya navuka, Mn., 1997, 144 pp.
[6] R. Carter, T. Hawkes, “The $\mathfrak{F}$-normalizers of a finite soluble group”, J. Algebra, 5:2 (1967), 175–202 | DOI | MR | Zbl
[7] L.A. Shemetkov, “Stupenchatye formatsii grupp”, Matem. sb., 94:4 (1974), 628–648 | Zbl
[8] R.V. Borodich, E.N. Borodich, M.V. Selkin, “Ob $\mathfrak{F}$-dostizhimykh podgruppakh v gruppakh s operatorami”, Problemy fiziki, matematiki i tekhniki, 2015, no. 2 (23), 33–39
[9] R.V. Borodich, “Ob abnormalnykh podgruppakh konechnykh grupp s zadannoi gruppoi operatorov”, Vesnik Vitsebskaga dzyarzhaunaga universiteta imya P. M. Masherava, 2003, no. 2, 111–115
[10] R.V. Borodich, “O peresechenii abnormalnykh podgrupp, ne soderzhaschikh $\mathfrak{F}$-koradikal”, Problemy fiziki, matematiki i tekhniki, 2019, no. 1 (38), 26–30
[11] R.V. Borodich, E.N. Borodich, M.V. Selkin, A.V. Buzlanov, “O peresechenii abnormalnykh podgrupp, ne soderzhaschikh $\mathfrak{F}$-koradikal, v gruppakh s operatorami”, Izvestiya Gomelskogo gosudarstvennogo universiteta im. F. Skoriny, 2019, no. 3 (114), 135–140