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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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by Alexandre Turull PDF
Proc. Amer. Math. Soc. 103 (1988), 463-467 Request permission

Abstract:

The present paper concerns certain divisibility properties of the (integer) values of some polynomials naturally defined from characters and modules of finite groups. A generalization of a theorem of K. Brown is obtained in this context.
References
  • Kenneth S. Brown, Euler characteristics of groups: the $p$-fractional part, Invent. Math. 29 (1975), no. 1, 1–5. MR 385008, DOI 10.1007/BF01405170
  • Tammo tom Dieck, Transformation groups and representation theory, Lecture Notes in Mathematics, vol. 766, Springer, Berlin, 1979. MR 551743
  • I. Martin Isaacs, Character theory of finite groups, Pure and Applied Mathematics, No. 69, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1976. MR 0460423
  • Charles Kratzer and Jacques ThĂ©venaz, Fonction de Möbius d’un groupe fini et anneau de Burnside, Comment. Math. Helv. 59 (1984), no. 3, 425–438 (French). MR 761806, DOI 10.1007/BF02566359
  • Tsit-yuen Lam, Artin exponent of finite groups, J. Algebra 9 (1968), 94–119. MR 224705, DOI 10.1016/0021-8693(68)90007-0
  • Jean-Pierre Serre, Corps locaux, Publications de l’UniversitĂ© de Nancago, No. VIII, Hermann, Paris, 1968 (French). Deuxième Ă©dition. MR 0354618
  • J. ThĂ©venaz, Idempotents de l’anneau de Burnside et caractĂ©ristqiue d’Euler, SĂ©minaire groupes finis III, Publ. Math. Univ. Paris VII, 1987. A. Turull, Hall-Higman type theorems for arbitrary groups, why and how, Proc. 4th Int. Conf. on Representations of Algebras (Ottawa, August 1984), Carleton Lecture Notes.
  • Alexandre Turull, Fixed point free action with regular orbits, J. Reine Angew. Math. 371 (1986), 67–91. MR 859320, DOI 10.1515/crll.1986.371.67
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Additional Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 103 (1988), 463-467
  • MSC: Primary 20C15
  • DOI: https://doi.org/10.1090/S0002-9939-1988-0943067-9
  • MathSciNet review: 943067