Abstract
A composite number is a positive integer that has at least one divisor integer other than 1 and itself. In this paper, we give a detailed structural description of a group if it has a unique composite conjugacy class size.
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Acknowledgements
The authors are thankful to the referee for his/her careful reading and valuable advice. The authors are also grateful to Professor R D Camina who gave them very valuable suggestions. This research was supported by the Natural Science Foundation of Shandong Province (No. ZR2019MA044) and the Opening Project of Sichuan Province University Key Laboratory of Bridge Non-destruction Detecting and Engineering Computing (Numbers 2018QZJ04 and 2017QZJ01).
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Communicating Editor: Manoj K Yadav
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Jiang, Q., Shao, C. & Zhao, Y. Finite groups with exactly one composite conjugacy class size. Proc Math Sci 130, 5 (2020). https://doi.org/10.1007/s12044-019-0547-z
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DOI: https://doi.org/10.1007/s12044-019-0547-z