Abstract
For each prime number s we introduce examples of - and s-representation infinite algebras in the sense of Herschend, Iyama and Oppermann, which arise from skew group algebras of some metacyclic groups embedded in and . For this purpose, we give a description of the McKay quiver with a superpotential of such groups. Moreover, we show that for s = 2 our examples correspond to the classical tame hereditary algebras of type .
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