Abstract
Let a finite group \({G = AB}\) be the product of the mutually permutable subgroups A and B. We investigate the structure of G given by conditions on conjugacy class sizes of elements in \({A \cup B}\) . Some recent results are extended.
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The second author has been supported by the project of NSF of China (11271085), NSF of Guangdong Province (China) (2015A030313791) and The Innovative Team Project of Guangdong Province (China) (2014KTSCX196).
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Cossey, J., Li, YM. On the structure of a mutually permutable product of finite groups. Acta Math. Hungar. 154, 525–529 (2018). https://doi.org/10.1007/s10474-018-0796-9
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DOI: https://doi.org/10.1007/s10474-018-0796-9