Titlebook: Symmetry and Combinatorial Enumeration in Chemistry; Shinsaku Fujita Textbook 1991 Springer-Verlag Berlin Heidelberg 1991 Cycle index.Grup

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书目名称Symmetry and Combinatorial Enumeration in Chemistry网络公开度学科排名




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书目名称Symmetry and Combinatorial Enumeration in Chemistry被引频次学科排名




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978-3-540-54126-4Springer-Verlag Berlin Heidelberg 1991

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Introduction,Group theory is now an essential tool for chemists. Thus, there have appeared a vast number of pedagogical articles on its applications to chemistry. . In addition, we can enrich our knowledge by means of excellent textbooks on this topic..

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Permutation Groups,Consider a set .. A one-to-one mapping from Δ to Δ is called a .. The number . is called the . of the permutation. Since we here take accout only of such mappings, the elements of Δ may be any objectives. For simplicity’s sake, we consider a set of positive integers, Δ = {1,2,3,4}.

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Coset Representations and Orbits,Let . be a subgroup of a group . of finite order. Then we have a (right) coset decomposition:.where ... (identity). Let us consider a set of the cosets,

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New Cycle Index,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.

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