Finite groups with a seminormal Hall subgroup
Matematičeskie zametki, Tome 80 (2006) no. 4, pp. 573-581.

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

Tests for $\pi$-solvability of a finite group with seminormal Hall $\pi$-subgroup are established and the nilpotency of the third commutator subgroup of any group with seminormal noncyclic Sylow subgroups is proved.
@article{MZM_2006_80_4_a10,
     author = {V. S. Monakhov},
     title = {Finite groups with a seminormal {Hall} subgroup},
     journal = {Matemati\v{c}eskie zametki},
     pages = {573--581},
     publisher = {mathdoc},
     volume = {80},
     number = {4},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2006_80_4_a10/}
}
TY  - JOUR
AU  - V. S. Monakhov
TI  - Finite groups with a seminormal Hall subgroup
JO  - Matematičeskie zametki
PY  - 2006
SP  - 573
EP  - 581
VL  - 80
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2006_80_4_a10/
LA  - ru
ID  - MZM_2006_80_4_a10
ER  - 
%0 Journal Article
%A V. S. Monakhov
%T Finite groups with a seminormal Hall subgroup
%J Matematičeskie zametki
%D 2006
%P 573-581
%V 80
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2006_80_4_a10/
%G ru
%F MZM_2006_80_4_a10
V. S. Monakhov. Finite groups with a seminormal Hall subgroup. Matematičeskie zametki, Tome 80 (2006) no. 4, pp. 573-581. http://geodesic.mathdoc.fr/item/MZM_2006_80_4_a10/

[1] O. Kegel, “Produkte nilpotenter Gruppen”, Arch. Math., 12 (1961), 90–93 | DOI | MR | Zbl

[2] R. M. Guralnick, “Subgroups of prime power index in a simple group”, J. Algebra, 81:2 (1983), 304–311 | DOI | MR | Zbl

[3] V. V. Podgornaya, “Polunormalnye podgruppy i sverkhrazreshimost konechnykh grupp”, Vestsi NAN Belarusi. Ser. fiz.-matem. navuk, 2000, no. 4, 22–25 | MR

[4] Su Xiongying, “On semi-normal subgroups of finite group”, J. Math. (Wuhan), 8(1) (1988), 7–9 | MR | Zbl

[5] B. Huppert, Endliche Gruppen, V. I, Springer-Verlag, Berlin–Heidelberg–New York, 1967 | MR | Zbl

[6] J. C. Lennox, S. E. Stonehewer, Subnormal Subgroups of Groups, Clarendon Press, Oxford, 1987 | MR | Zbl

[7] B. Huppert, N. Blackburn, Finite Groups, V. II, Springer-Verlag, Berlin–Heidelberg–New York, 1982 | MR | Zbl

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

[9] V. S. Monakhov, “Proizvedenie razreshimoi i tsiklicheskoi grupp”, VI Vsesoyuznyi simpozium po teorii grupp, Sb. nauchnykh trudov, Naukova dumka, Kiev, 1980, 188–195 | MR | Zbl

[10] S. A. Syskin, “Ob odnom voprose R. Bera”, Sib. matem. zh., 20:3 (1979), 679–681 | MR | Zbl