On the Schur index of projective representations of finite groups
Sbornik. Mathematics, Tome 15 (1971) no. 1, pp. 109-120 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

This work is a study of the set of Schur indices of absolutely irreducible projective representations of nilpotent groups over a field $K$ which is a finite extension of the rational number field $Q$ or of the rational $p$-adic number field $Q_p$. Bibliography: 13 titles.
@article{SM_1971_15_1_a5,
     author = {L. F. Barannik},
     title = {On the {Schur} index of projective representations of finite groups},
     journal = {Sbornik. Mathematics},
     pages = {109--120},
     year = {1971},
     volume = {15},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1971_15_1_a5/}
}
TY  - JOUR
AU  - L. F. Barannik
TI  - On the Schur index of projective representations of finite groups
JO  - Sbornik. Mathematics
PY  - 1971
SP  - 109
EP  - 120
VL  - 15
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/SM_1971_15_1_a5/
LA  - en
ID  - SM_1971_15_1_a5
ER  - 
%0 Journal Article
%A L. F. Barannik
%T On the Schur index of projective representations of finite groups
%J Sbornik. Mathematics
%D 1971
%P 109-120
%V 15
%N 1
%U http://geodesic.mathdoc.fr/item/SM_1971_15_1_a5/
%G en
%F SM_1971_15_1_a5
L. F. Barannik. On the Schur index of projective representations of finite groups. Sbornik. Mathematics, Tome 15 (1971) no. 1, pp. 109-120. http://geodesic.mathdoc.fr/item/SM_1971_15_1_a5/

[1] B. Fein, “The Schur index for projective representations of finite groups”, Pacific J. Math., 28:1 (1969), 87–100 | MR | Zbl

[2] P. Roquette, “Realisierung von Darstellungen endlicher nilpotenter Gruppen”, Arch. Math., 9 (1958), 241–250 | DOI | MR | Zbl

[3] R. Brauer, “Untersuchungen über die arithmetischen Eigenschaften von Gruppen linearer Substitutionen. II”, Math. Z., 31 (1930), 737–747 | DOI | MR

[4] S. D. Berman, “Ob indekse Shura”, Uspekhi matem. nauk, XVI:2(98) (1961), 95–99 | MR

[5] S. D. Berman, “Predstavleniya konechnykh grupp nad proizvolnym polem i nad koltsom tselykh chisel”, Izv. AN SSSR, seriya matem., 30 (1966), 69–132 | MR | Zbl

[6] S. D. Berman, Ob indekse Shura kharakterov konechnykh grupp otnositelno lokalnogo polya, Vsesoyuznyi kollokvium po obschei algebre, Riga, 1967

[7] T. Jamada, “On the group algebras of metacyclic groups over algebraic number fields”, J. Fac. Univ. Tokyo, Sec. 1, 15:2 (1968), 179–199 | MR

[8] T. Jamada, “On the group algebras of metabelian groups over algebraic number fields. I”, Osaka J. Math., 6 (1969), 211–228 | MR

[9] T. Jamada, “On the group algebras of metabelian groups over algebraic number fields. II”, J. Fac. Sci. Univ. Tokyo, 16 (1969), 83–90 | MR

[10] Ch. Kertis, I. Rainer, Teoriya predstavlenii konechnykh grupp i assotsiativnykh algebr, Mir, Moskva, 1969 | MR

[11] N. Dzhekobson, Stroenie kolets, IL, Moskva, 1961

[12] A. A. Albert, Structure of algebras, New York, 1939

[13] M. Deuring, Algebren, Berlin, 1935