Proceedings of the Japan Academy

Group rings of metacyclic $p$-groups

Shigeo Koshitani

Full-text: Open access

Article information

Source
Proc. Japan Acad., Volume 52, Number 6 (1976), 269-272.

Dates
First available in Project Euclid: 20 November 2007

Permanent link to this document
https://projecteuclid.org/euclid.pja/1195518295

Digital Object Identifier
doi:10.3792/pja/1195518295

Mathematical Reviews number (MathSciNet)
MR0407116

Zentralblatt MATH identifier
0359.16005

Citation

Koshitani, Shigeo. Group rings of metacyclic $p$-groups. Proc. Japan Acad. 52 (1976), no. 6, 269--272. doi:10.3792/pja/1195518295. https://projecteuclid.org/euclid.pja/1195518295


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References

  • [1] C. W. Curtis and I. Reiner: Representation Theory of Finite Groups and Associative Algebras. Interscience, New York (1962).
  • [2] B. Huppert: Endliche Gruppen. I. Springer (1967).
  • [3] C. Loncour: Radical d'une algebre d'un produit direct de groupes finis. Bull. Soc. Math. Belg., 23, 423-435 (1971).
  • [4] K. Morita: On group rings over a modular field which possess radicals expressible as principal ideals. Sci. Rep. of Tokyo Bunrika Daigaku, A4, 177-194 (1951).
  • [5] K. Motose: On C. Loncour's results. Proc. Japan Acad., 50, 570-571 (1974).
  • [6] W. Muller: Gruppenalgebren uber nichtzyklischen p-Gruppen. I, II. J. Reine Angew. Math., 266, 10-48 (1974) ; 267, 1-19 (1974).