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The free spectrum of the variety of bands
Authors:Gabriella Pluhár  Csaba Szabó
Affiliation:1. Department of Algebra and Number Theory, E?tv?s Loránd University, 1117, Budapest, Pázmány Péter sétány 1/c, Hungary
Abstract:In this short note we give an asymptotic formula for the p n sequence of the variety of bands, namely, $p_{n}(mathcal{B})=frac{1}{n^{2}}K^{2^{n+1}}(1+O(frac{1}{n})),$ for some constant K. This yields a formula for the free spectrum of this variety.
Keywords:p n sequence  Free spectrum  Semigroup  Band
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