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Proceedings of the American Mathematical Society

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A remark on Schur indices of $ p$-groups


Author: Toshihiko Yamada
Journal: Proc. Amer. Math. Soc. 76 (1979), 45
MSC: Primary 20C15
MathSciNet review: 534388
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Abstract: By making use of Hasse's sum theorem, a simple proof of the following theorem on Schur indices of p-groups is given.


References [Enhancements On Off] (What's this?)

  • [1] Max Deuring, Algebren, Zweite, korrigierte auflage. Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 41, Springer-Verlag, Berlin-New York, 1968 (German). MR 0228526
  • [2] Serge Lang, Algebraic number theory, Addison-Wesley Publishing Co., Inc., Reading, Mass.-London-Don Mills, Ont., 1970. MR 0282947
  • [3] Peter Roquette, Realisierung von Darstellungen endlicher nilpotenter Gruppen, Arch. Math. (Basel) 9 (1958), 241–250 (German). MR 0097452
  • [4] Louis Solomon, The representation of finite groups in algebraic number fields, J. Math. Soc. Japan 13 (1961), 144–164. MR 0143822

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DOI: https://doi.org/10.1090/S0002-9939-1979-0534388-7
Article copyright: © Copyright 1979 American Mathematical Society