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Counting symmetry classes of functions by weight and automorphism group

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Combinatorial Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 969))

The authors would like to thank the Deutsche Forschungsgemeinschaft for financial support under contract Ke 201/8-1.

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References

  1. G.D. James/A. Kerber: The representation theory of the symmetric group. Addison-Wesley 1981.

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  2. W. Burnside: Theory of groups of finite order, 2nd 3d. 1911 (Dover Publications 1955)

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  3. A. Kerber/K.-J. Thürlings: Symmetrieklassen von Funktionen und ihre Abzählungstheorie (in preparation)

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  4. W. Plesken: Counting with groups and rings (to appear)

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  5. H.O. Foulkes: On Redfield's group reduction functions. Can. J. Math. 15 (1963), 272–284.

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  6. J. H. Redfield: The theory of group reduced distributions. Amer. J. Math. 49 (1927), 433–455

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  7. P.K. Stockmeyer: Enumeration of Graphs with prescribed automorphism group, Dissertation, University of Michigan, 1971.

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Author information

Authors and Affiliations

  1. Lehrstuhl II für Mathematik, Univ. Bayreuth, Postfach 3008, 8580, Bayreuth, Germany

    Adalbert Kerber & Karl-Josef Thürlings

Authors
  1. Adalbert Kerber
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  2. Karl-Josef Thürlings
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Dieter Jungnickel Klaus Vedder

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© 1982 Springer-Verlag

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Kerber, A., Thürlings, KJ. (1982). Counting symmetry classes of functions by weight and automorphism group. In: Jungnickel, D., Vedder, K. (eds) Combinatorial Theory. Lecture Notes in Mathematics, vol 969. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062995

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  • DOI: https://doi.org/10.1007/BFb0062995

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11971-5

  • Online ISBN: 978-3-540-39380-1

  • eBook Packages: Springer Book Archive

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