×

Sur la décomposition des algèbres de groupes. (French) Zbl 0215.10003


MSC:

22D20 Representations of group algebras
PDFBibTeX XMLCite
Full Text: DOI Numdam Numdam EuDML

References:

[1] E. ARTIN et J. TATE , Class field theory , New York, Benjamin, 1967 . Zbl 0176.33504 · Zbl 0176.33504
[2] R. BRAUER , On the algebraic structure of group rings (J. Math. Soc. Japan, t. 3, 1951 , p. 237-251). Article | Zbl 0043.02703 · Zbl 0043.02703
[3] A. H. CLIFFORD , Representations induced in an invariant subgroup (Ann. of Math., t. 38, 1937 , p. 533-550). Zbl 0017.29705 | JFM 63.0076.04 · Zbl 0017.29705
[4] M. DEURING , Algebren ; zweite, korrigierte Auflage, Berlin, Springer, 1968 . Zbl 0159.04201 · Zbl 0159.04201
[5] W. FEIT , Characters of finite groups , New York, Benjamin, 1967 . Zbl 0166.29002 · Zbl 0166.29002
[6] J.-M. FONTAINE , Rationalité des représentations d’Artin et de Swan (C. R. Acad. Sc., t. 270, série A, 1970 , p. 93-95). Zbl 0185.10104 · Zbl 0185.10104
[7] P. ROQUETTE , Realisierung von Darstellungen endlicher nilpotenter Gruppen (Arch. Math., t. 9, 1958 , p. 241-250). Zbl 0083.25002 · Zbl 0083.25002
[8] J.-P. SERRE , Applications algébriques de la cohomologie des groupes. II : Théorie des algèbres simples (Séminaire H. Cartan, 3e année, 1950 - 1951 , exp. 6 et 7). Numdam
[9] J.-P. SERRE , Corps locaux , Paris, Hermann, 1968 (cité CL).
[10] J.-P. SERRE , Sur les corps locaux à corps résiduel algébriquement clos (Bull. Soc. math. Fr., t. 89, 1961 , p. 105-154). Numdam | Zbl 0166.31103 · Zbl 0166.31103
[11] J.-P. SERRE , Sur la rationalité des représentations d’Arlin (Annals of Math., t. 72, 1960 , p. 405-420). Zbl 0202.32803 · Zbl 0202.32803
[12] L. SOLOMON , The representation of finite groups in algebraic number fields (J. Math. Soc. Japan, t. 13, 1961 , p. 144-164). Article | Zbl 0101.26701 · Zbl 0101.26701
[13] E. WITT , Die algebraische Struktur des Gruppenringes einer endlichen Gruppe über einem Zahlkörper (J. reine ang. Math., t. 190, 1952 , p. 231-245). Article | Zbl 0048.26301 · Zbl 0048.26301
[14] T. YAMADA , On the group algebras of metacyclic groups over algebraic number fields (J. fac. Sci. Univ. Tokyo, t. 15, 1968 , p. 179-198). Zbl 0172.03403 · Zbl 0172.03403
[15] T. YAMADA , On the group algebras of metabelian groups over algebraic number fields (I: Osaka J. Math., t. 6, 1969 , p. 211-228 et II: J. fac. Sci. Univ. Tokyo, t. 16, 1969 , p. 83-90). Zbl 0184.05102 · Zbl 0184.05102
[16] T. YAMADA , On the Schur index of a monomial representation (Proc. Jap. Ac., t. 45, n^\circ 7, 1969 , p. 522-525). Zbl 0192.35705 · Zbl 0192.35705
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.