Groups with relatively small normalizers of biprimary subgroups
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2013), pp. 3-13.

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

We completely describe groups whose any biprimary or nonprimary subgroup is such that the index of its product by the centralizer in its normalizer is divisable by some prime number (fixed for the given group). We give full description of these groups.
Mots-clés : group
Keywords: subgroup, biprimary subgroup, nonprimary subgroup, centralizer, normalizer, index.
@article{IVM_2013_8_a0,
     author = {V. A. Antonov and T. G. Nozhkina},
     title = {Groups with relatively small normalizers of biprimary subgroups},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--13},
     publisher = {mathdoc},
     number = {8},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2013_8_a0/}
}
TY  - JOUR
AU  - V. A. Antonov
AU  - T. G. Nozhkina
TI  - Groups with relatively small normalizers of biprimary subgroups
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2013
SP  - 3
EP  - 13
IS  - 8
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2013_8_a0/
LA  - ru
ID  - IVM_2013_8_a0
ER  - 
%0 Journal Article
%A V. A. Antonov
%A T. G. Nozhkina
%T Groups with relatively small normalizers of biprimary subgroups
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2013
%P 3-13
%N 8
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2013_8_a0/
%G ru
%F IVM_2013_8_a0
V. A. Antonov; T. G. Nozhkina. Groups with relatively small normalizers of biprimary subgroups. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2013), pp. 3-13. http://geodesic.mathdoc.fr/item/IVM_2013_8_a0/

[1] Antonov V. A., “Lokalno konechnye gruppy s malymi normalizatorami”, Matem. zametki, 41:3 (1987), 296–302 | MR | Zbl

[2] Antonov V. A., Amineva N. N., “O gruppakh s otnositelno bolshimi tsentralizatorami”, Izv. vuzov. Matem., 2003, no. 7, 8–17 | MR | Zbl

[3] Gorenstein D., Konechnye prostye gruppy. Vvedenie v ikh klassifikatsiyu, Mir, M., 1985 | MR | Zbl

[4] Huppert B., Endliche Groupen, v. 1, Springer-Verlag, Berlin–Heidelberg–New York, 1967 | MR | Zbl

[5] Carter R. G., Simple groups of Lie type, John Wiley Sons, London–New York–Sydney–Toronto, 1972 | MR | Zbl

[6] Syskin S. A., “Abstraktnye svoistva prostykh sporadicheskikh grupp”, UMN, 35:5 (1980), 181–212 | MR | Zbl

[7] Kholl M., Teoriya grupp, In. lit., M., 1962