Finite groups with a $D$-block of cardinality 3
Fundamentalʹnaâ i prikladnaâ matematika, Tome 15 (2009) no. 2, pp. 23-33
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The results of this paper are connected with one of the main problems of the representation theory, the problem of dependence between the character table of a finite group and its abstract structure. Finite groups that have a $D$-block of cardinality 3 for some normal subset $D$ are investigated. Some properties of classical $p$-blocks (where $p$ is a prime number) consisting of three irreducible characters are also obtained.
@article{FPM_2009_15_2_a1,
     author = {V. A. Belonogov},
     title = {Finite groups with a~$D$-block of cardinality~3},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {23--33},
     year = {2009},
     volume = {15},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2009_15_2_a1/}
}
TY  - JOUR
AU  - V. A. Belonogov
TI  - Finite groups with a $D$-block of cardinality 3
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 2009
SP  - 23
EP  - 33
VL  - 15
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/FPM_2009_15_2_a1/
LA  - ru
ID  - FPM_2009_15_2_a1
ER  - 
%0 Journal Article
%A V. A. Belonogov
%T Finite groups with a $D$-block of cardinality 3
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2009
%P 23-33
%V 15
%N 2
%U http://geodesic.mathdoc.fr/item/FPM_2009_15_2_a1/
%G ru
%F FPM_2009_15_2_a1
V. A. Belonogov. Finite groups with a $D$-block of cardinality 3. Fundamentalʹnaâ i prikladnaâ matematika, Tome 15 (2009) no. 2, pp. 23-33. http://geodesic.mathdoc.fr/item/FPM_2009_15_2_a1/

[1] Belonogov V. A., “Priznaki neprostoty konechnoi gruppy na yazyke kharakterov”, Algebra i logika, 21:4 (1982), 386–401 | MR | Zbl

[2] Belonogov V. A., “$D$-bloki kharakterov konechnoi gruppy”, Issledovaniya po teorii grupp, UrO AN SSSR, Sverdlovsk, 1984, 3–31 | MR

[3] Belonogov V. A., “Konechnye gruppy s nebolshim glavnym $p$-blokom”, Teoretiko-gruppovye issledovaniya, UrO AN SSSR, Sverdlovsk, 1990, 8–30 | MR

[4] Belonogov V. A., Predstavleniya i kharaktery v teorii konechnykh grupp, UrO AN SSSR, Sverdlovsk, 1990 | MR

[5] Belonogov V. A., “Malye vzaimodeistviya v gruppakh $\mathrm{GL}_3(q)$, $\mathrm{GU}_3(q)$, $\mathrm{PGL}_3(q)$ i $\mathrm{PGU}_3(q)$”, Tr. IMM UrO RAN, 4, 1996, 17–47 | MR | Zbl

[6] Belonogov V. A., “O neprivodimykh kharakterakh grupp $\mathrm S_n$ i $\mathrm A_n$”, Sib. mat. zhurn., 45:5 (2004), 977–994 | MR | Zbl

[7] Belonogov V. A., “K gipoteze o poluproportsionalnykh kharakterakh”, Sib. mat. zhurn., 46:2 (2005), 299–314 | MR | Zbl

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