Products of Class‐Sums of the Symmetric Group: Elimination of Two‐Index Cycles | Zendy

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Products of Class‐Sums of the Symmetric Group: Elimination of Two‐Index Cycles

Author(s) -

Katriel Jacob

Publication year - 1991

Publication title -

israel journal of chemistry

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.908

H-Index - 54

eISSN - 1869-5868

pISSN - 0021-2148

DOI - 10.1002/ijch.199100033

Subject(s) - chemistry , class (philosophy) , product (mathematics) , base (topology) , group (periodic table) , combinatorics , index (typography) , expression (computer science) , mathematics , mathematical analysis , organic chemistry , geometry , artificial intelligence , world wide web , computer science , programming language

The present status of the efforts to develop a closed‐form expression for the product of arbitrary class‐sums in the symmetric group is critically reviewed. The relevant data base is extended by determining the full [(7)] N ·[(1) 1 1 (2) 1 1 …] n product. The extended data base is used to formulate a conjectured recurrence relation for reduced class coefficients of the general form C〈(r 1 + r 2 )A·(r 1 + r 2 + … + r 1 )B〉 in terms of class coefficients in which r 1 and r 2 are eliminated.

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