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Enumeration under finite group action: Symmetry classes of mappings

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Book cover Combinatoire énumérative

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1234))

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References

(i) Papers of historical interest

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(ii) On the history of this theory

(iii) On applications to chemistry

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(iv) Introductions, longer manuscripts, books

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(v) Enumeration by stabilizer class

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(vi) Construction of representatives

(vii) Papers on the unimodality (problem (iii))

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  • See also the book

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  • I.G. Macdonald: Symmetric Functions and Hall Polynomials, Clarendon Press, Oxford, 1979, 180 pp.

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(viii) Pólya-Redfield theory and linear representation theory

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  • A. Kerber/K.-J. Thürlings: Symmetrieklassen von Funktionen und ihre Abzählungstheorie, Teil II, see references (iv).

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  • W. Lehmann: Ein vereinheitlichender Ansatz für die Redfield-Pólyade Bruijnsche Abzähltheorie, Dissertation, RWTH Aachen, 1976.

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  • K.J. Thürlings: Eine Verallgemeinerung des Lemmas von Cauchy-Frobenius, kombinatorische und algebraische Zusammenhänge, Dissertation 1981, Bayreuther Math. Schr. 8 (1981), 39–131.

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  1. Lehrstuhl II für Mathematik, Bayreuth, Germany

    Adalbert Kerber

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  1. Adalbert Kerber
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Gilbert Labelle Pierre Leroux

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© 1986 Springer-Verlag

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Kerber, A. (1986). Enumeration under finite group action: Symmetry classes of mappings. In: Labelle, G., Leroux, P. (eds) Combinatoire énumérative. Lecture Notes in Mathematics, vol 1234. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072515

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  • DOI: https://doi.org/10.1007/BFb0072515

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  • Print ISBN: 978-3-540-17207-9

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