On the Solvability of Finite Irreducible Linear Groups with Hall $TI$-Subgroups
Matematičeskie zametki, Tome 73 (2003) no. 4, pp. 494-501.

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

Conditions for a $\pi$-solvable complex linear group of a relatively small degree to be solvable are found.
@article{MZM_2003_73_4_a1,
     author = {V. V. Bobr},
     title = {On the {Solvability} of {Finite} {Irreducible} {Linear} {Groups} with {Hall} $TI${-Subgroups}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {494--501},
     publisher = {mathdoc},
     volume = {73},
     number = {4},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2003_73_4_a1/}
}
TY  - JOUR
AU  - V. V. Bobr
TI  - On the Solvability of Finite Irreducible Linear Groups with Hall $TI$-Subgroups
JO  - Matematičeskie zametki
PY  - 2003
SP  - 494
EP  - 501
VL  - 73
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2003_73_4_a1/
LA  - ru
ID  - MZM_2003_73_4_a1
ER  - 
%0 Journal Article
%A V. V. Bobr
%T On the Solvability of Finite Irreducible Linear Groups with Hall $TI$-Subgroups
%J Matematičeskie zametki
%D 2003
%P 494-501
%V 73
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2003_73_4_a1/
%G ru
%F MZM_2003_73_4_a1
V. V. Bobr. On the Solvability of Finite Irreducible Linear Groups with Hall $TI$-Subgroups. Matematičeskie zametki, Tome 73 (2003) no. 4, pp. 494-501. http://geodesic.mathdoc.fr/item/MZM_2003_73_4_a1/

[1] Ito N., “On the theorem of N. F. Blichfeldt”, Nagoya Math. J., 15 (1953), 75–77

[2] Winter D. L., “On finite solvable linear groups”, Illinois J. Math., 15:3 (1971), 425–428 | MR | Zbl

[3] Isaacs I. M., “Complex $p$-solvable linear groups”, J. Algebra, 24:3 (1973), 513–530 | DOI | MR | Zbl

[4] Winter D. L., “On the structure of certain $p$-solvable linear groups”, J. Algebra, 31:3 (1974), 543–546 | DOI | MR | Zbl

[5] Yadchenko A. A., “Razreshimye neprivodimye lineinye gruppy proizvolnoi stepeni s khollovskoi $TI$-podgruppoi”, Matem. zametki, 48:2 (1990), 137–144 | MR | Zbl

[6] Bobr V. V., Yadchenko A. A., “O $\pi$-razreshimykh neprivodimykh lineinykh gruppakh otnositelno nebolshoi stepeni”, Vestsi NAN Belaruci. Ser. fiz.-mat. navuk, 2001, no. 1 | MR

[7] Gorenstein D., Finite Groups, Harper and Row, New York, 1968 | Zbl

[8] Isaacs I. M., Character Theory of Finite Groups, Academic Press, New York, 1976 | Zbl

[9] Yadchenko A. A., “O konechnykh $\pi$-razreshimykh lineinykh gruppakh”, Arifmeticheskoe i podgruppovoe stroenie konechnykh grupp, Nauka i tekhnika, Minsk, 1986, 181–207 | MR

[10] Huppert B., Endliche Gruppen, V. 1, Springer, Berlin–Heidelberg–New York, 1967

[11] Starostin A. I., “O gruppakh Frobeniusa”, Ukr. matem. zh., 23:3 (1971), 629–639 | MR | Zbl

[12] Blichfeldt H. F., Finite Collineation Groups, University of Chicago Press, Chicago (IL), 1917