Abstract
Let G be a finite group. Let \(\psi ^{\prime }(G)= \prod _{g \in G} o(g), \) where o(g) denotes the order of \(g \in G\). In this paper, we prove that \(\mathrm{PSL}(2, 7)\) and \(\mathrm{PSL}(2, 11)\) are uniquely determined by their product of element orders. Furthermore, we prove that \(\mathrm{PSL}(2, 5)\) and \(\mathrm{PSL}(2, 13)\) are uniquely determined by their orders and the product of element orders.
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The authors would like to express their appreciation to the anonymous referees for their constructive remarks and useful suggestions.
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Miin Huey Ang.
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Khosravi, B., Baniasad Azad, M. Recognition by the Product Element Orders. Bull. Malays. Math. Sci. Soc. 43, 1183–1193 (2020). https://doi.org/10.1007/s40840-019-00732-w
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DOI: https://doi.org/10.1007/s40840-019-00732-w