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- W2034643132 abstract "Let be the regular representation of a finite abelian group G and let ${mathcal{C}}_{n}$ denote the cyclic group of order n. For $G={mathcal{C}}_{n}$ , we compute the Poincaré series of all ${mathcal{C}}_{n}$ -isotypic components in (the symmetric tensor exterior algebra of ). From this we derive a general reciprocity and some number-theoretic identities. This generalises results of Fredman and Elashvili–Jibladze. Then we consider the Cayley table, , of G and some generalisations of it. In particular, we prove that the number of formally different terms in the permanent of equals , where n is the order of G." @default.
- W2034643132 created "2016-06-24" @default.
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- W2034643132 date "2010-06-04" @default.
- W2034643132 modified "2023-09-24" @default.
- W2034643132 title "Fredman’s reciprocity, invariants of abelian groups, and the permanent of the Cayley table" @default.
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- W2034643132 doi "https://doi.org/10.1007/s10801-010-0236-6" @default.
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