Abstract
Let G be a finite group and \(\pi \) an arbitrary set of primes. We investigate the structure of G when the sizes of the conjugacy classes of its \(\pi \)-elements of primary orders are power of just one prime. Under this condition, we obtain certain properties of the normal structure of G.
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The author thanks the referee for their valuable suggestions and useful comments.
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The research is supported by the NNSF of China (11301378) and the Research Grant of Tianjin Polytechnic University.
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Kong, Q. On conjugacy class sizes of \(\pi \)-elements of primary orders in finite groups. Bol. Soc. Mat. Mex. 22, 137–140 (2016). https://doi.org/10.1007/s40590-015-0075-5
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DOI: https://doi.org/10.1007/s40590-015-0075-5