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The cyclotomic identity and the cyclic group. (English) Zbl 1060.05501

Summary: We show that the necklace-algebra defined by N. Metropolis and Gian-Carlo Rota [Adv. Math. 50, 95-125 (1983; Zbl 0545.05009)] is the Burnside ring of almost finite \(\mathbb Z\)-sets.

MSC:

05A10 Factorials, binomial coefficients, combinatorial functions
05A15 Exact enumeration problems, generating functions

Citations:

Zbl 0545.05009
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