Abstract
In this short note, we show that Theorem 4.3 of Liu and Yu (Monatshefte Math 195:173–176, 2021) is a consequence of Lemma 2 of Ballester-Bolinches and Esteban-Romero (J Aust Math Soc 75:181–191, 2003).
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References
Ballester-Bolinches, A., Esteban-Romero, R.: On finite \(\cal{T}\)-groups. J. Aust. Math. Soc. 75, 181–191 (2003)
Ballester-Bolinches, A., Esteban-Romero, R., Asaad, M.: Products of finite groups, de Gruyter Expositions in Mathematics, vol. 53. Walter de Gruyter, Berlin (2010)
Liu, S., Yu, H.: A note on pronormal \(p\)-subgroups of finite groups. Monatsh. Math. 195, 173–176 (2021)
Acknowledgements
The authors are very grateful to Professor Adolfo Ballester-Bolinches who told us that [3, Theorem 4.3] is a consequence of [1, Lemma 2] (also see [2, Lemma1.5.17]). Suli Liu is supported by The Education Department Project of Jilin Province (Grant No. JJKH20211033KJ). Haoran Yu is supported by China Postdoctoral Science Foundation (Grant No. 2018M630317 and 2019T120231), and National Natural Science Foundation of China (Grant No. 12001225 and 11871241).
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Communicated by John S. Wilson.
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Liu, S., Yu, H. Notes on the paper “A note on pronormal p-subgroups of finite groups”. Monatsh Math 197, 529–530 (2022). https://doi.org/10.1007/s00605-021-01578-w
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DOI: https://doi.org/10.1007/s00605-021-01578-w