Abstract
Let \({\mathcal {S}}\) denote the set of positive integers that may appear as the strong symmetric genus of a finite abelian group. We obtain a set of (simple) necessary and sufficient conditions for an integer g to belong to \({\mathcal {S}}\). We also prove that the set \({\mathcal {S}}\) has an asymptotic density and approximate its value.
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Kumchev, A.V., May, C.L. & Zimmerman, J.J. The strong symmetric genus spectrum of abelian groups. Arch. Math. 108, 341–350 (2017). https://doi.org/10.1007/s00013-016-1018-8
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DOI: https://doi.org/10.1007/s00013-016-1018-8