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Artin exponent of finite groups. (English) Zbl 0277.20006


MSC:

20C05 Group rings of finite groups and their modules (group-theoretic aspects)
16S34 Group rings
20C15 Ordinary representations and characters
Full Text: DOI

References:

[1] Artin, E., Die gruppentheoretische Struktur der Diskriminanaten algebraischer Zahlkörper, J. reine angew. Math., 164, 1-11 (1931) · Zbl 0001.00801
[2] Brauer, R., Beziehungen zwischen Klassenzahlen von Teilkörpern eines galoisschen Körpers, Math. Nach., 4, 158-174 (1950-1951) · Zbl 0042.03801
[3] Curtis, C.; Reiner, I., Representation Theory of Finite Groups and Associate Algebras (1962), Wiley (Interscience): Wiley (Interscience) New York · Zbl 0131.25601
[4] Hall, M., The Theory of Groups (1959), Macmillan: Macmillan New York · Zbl 0084.02202
[5] Lam, T. Y., Induction theorems for Grothendieck groups and Whitehead Groups, Annales de l’École Normale Supérieure (1968), (to appear) · Zbl 0164.02703
[6] Scott, W., Group Theory (1964), Prentice-Hall: Prentice-Hall New Jersey · Zbl 0126.04504
[7] Swan, R., Induced representations and projective modules, Ann. Math., 71, 552-578 (1960) · Zbl 0104.25102
[8] Swan, R., The Grothendieck ring of a finite group, Topology, 2, 85-110 (1963) · Zbl 0119.02905
[9] Thompson, J. G., Finite groups with fixed-point-free automorphisms of prime order, (Proc. Natl. Acad. Sci. U.S., 45 (1959)), 578-581 · Zbl 0086.25101
[10] Feit, W., Characters of Finite Groups, Yale University notes (1965) · Zbl 0166.29002
[11] Zassenhaus, H., Theory of Groups (1958), Chelsea: Chelsea New York · Zbl 0083.24517
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