In Chapter 15, we have discussed an application of unit subduced cycle indices (USCIs) to enumeration of compounds, which is based on a new type of generating functions. In a continuation of the work, the present chapter deals with the relationship between USCIs and Pólya’s cycle indices.


Cyclic Group Cyclic Subgroup Alternative Definition Great Common Divisor Cycle Structure 
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  1. [1]
    T. Ōyama, Yugen Chikan-Gun (Theory of Permutation Groups of Finite Order), Syōkabō, Tokyo (1981).Google Scholar
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    A. Kerber and K.-J. Thürlings, in Lecture Notes in Mathematics, Vol. 969, p. 161, Springer, New York (1982).Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • Shinsaku Fujita
    • 1
  1. 1.Research Laboratories, AshigaraFuji Photo Film Co., Ltd.Minami-Ashigara, KanagawakenJapan

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