Abstract
We prove that if \( G \) is a finite group and \( S \) is an alternating group with nonconnected prime graph, then \( G\cong S \) if and only if \( |G|=|S| \) and the prime graph of \( G \) is disconnected.
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This work was supported by the National Natural Science Foundation of China (Grants nos. 12071376 and 11971391).
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Wang, Z.B., Chen, G.Y. A New Characterization of Alternating Groups with Nonconnected Prime Graphs. Sib Math J 64, 251–260 (2023). https://doi.org/10.1134/S0037446623010214
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DOI: https://doi.org/10.1134/S0037446623010214