Minimal $I(\pi)$-groups
Izvestiya. Mathematics , Tome 44 (1995) no. 3, pp. 601-615.

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

A complete description of minimal finite $I(\pi)$-groups with nilpotent $\pi$-Hall subgroup is obtained. Well-known results of Ito, Mann, and Robinson are then obtained as corollaries.
@article{IM2_1995_44_3_a7,
     author = {V. I. Zenkov},
     title = {Minimal $I(\pi)$-groups},
     journal = {Izvestiya. Mathematics },
     pages = {601--615},
     publisher = {mathdoc},
     volume = {44},
     number = {3},
     year = {1995},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1995_44_3_a7/}
}
TY  - JOUR
AU  - V. I. Zenkov
TI  - Minimal $I(\pi)$-groups
JO  - Izvestiya. Mathematics 
PY  - 1995
SP  - 601
EP  - 615
VL  - 44
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1995_44_3_a7/
LA  - en
ID  - IM2_1995_44_3_a7
ER  - 
%0 Journal Article
%A V. I. Zenkov
%T Minimal $I(\pi)$-groups
%J Izvestiya. Mathematics 
%D 1995
%P 601-615
%V 44
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1995_44_3_a7/
%G en
%F IM2_1995_44_3_a7
V. I. Zenkov. Minimal $I(\pi)$-groups. Izvestiya. Mathematics , Tome 44 (1995) no. 3, pp. 601-615. http://geodesic.mathdoc.fr/item/IM2_1995_44_3_a7/

[1] N. Bialostocki, “On products of two nilpotent subgroups of a finite group”, Isr. J. Math., 20:2 (1975), 178–188 | DOI | MR | Zbl

[2] T. Gagen, Nekotorye voprosy teorii konechnykh grupp, Mir, M., 1979

[3] D. Gorenstein, Finite groups, Harper and Row, N.Y., 1968 | MR | Zbl

[4] B. Huppert, Endliche Gruppen I, Springer, Berlin–Heidelberg–New York, 1967 | MR | Zbl

[5] N. Ito, “Über deir kleinsten $p$-Durchschnitt auflosbarer Gruppen”, Arch. Math., 9:1–2 (1958), 27–32 | DOI | MR | Zbl

[6] M. Kargapolov, Yu. Merzlyakov, Osnovy teorii grupp, Nauka, M., 1972 | MR | Zbl

[7] A. Mann, “The intersections of Sylow subgroups”, Proc. Amer. Math. Soc., 53:2 (1975), 262–264 | DOI | MR | Zbl

[8] A. Yones, “A property of finite $p$-groups with trivial multiplicator”, Trans. Amer. Math. Soc., 210 (1975), 179–183 | DOI | MR

[9] G. Robinson, “On Sylow intersections in finite groups”, Proc. Amer. Math. Soc., 90:1 (1984), 28–32 | DOI | MR

[10] S. A. Syskin, “Koprostye avtomorfizmy konechnykh grupp”, Sib. matem. zhurn., 32:6 (1991), 164–168 | MR

[11] D. Suprunenko, Gruppy matrits, Nauka, M., 1972 | MR