Subdirect Product Closed Fitting Classes

  • R. A. Bryce
  • John Cossey
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 372)

Abstract

In [2] we pointed out that the class of finite soluble groups whose socle is central is an R 0-closed Fitting class. It follows that if p, q are primes, the class S p S q contains a proper, non-nilpotent, R 0-closed Fitting class. This contrasts with the closure operations S, E ø and, when q|p−1, Q — see [2] for details and notation. Here we prove

Keywords

Assure 

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References

  1. [1]
    R.M. Bryant, R.A. Bryce and B. Hartley, “The formation generated by a finite group”, Bull. Austral. Math. Soc. 2 (1970), 347–357, MR43#4901.Google Scholar
  2. [2]
    R.A. Bryce and John Cossey, “Metanilpotent Fitting classes”, J. Austral. Math. Soc. (to appear).Google Scholar
  3. [3]
    B. Hartley, “On Fischer’s dualization of formation theory”, Proc. London Math. Soc. (3) 19 (1969), 193-207. MR39#5696.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1974

Authors and Affiliations

  • R. A. Bryce
    • 1
  • John Cossey
    • 1
  1. 1.Australian National UniversityCanberraAustralia

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