Abstract
Let \( G \) be an \( A \)-group and let \( f \) be a formation function. Note that \( A \) is said to act \( f \)-hypercentrally on \( G \) if \( A/C_{A}(H/K)\in f(p) \) on every \( A \)-composition factor \( H/K \) of \( G \) for all \( p\in\pi(H/K) \). We obtain some criteria of the actions to be \( f \)-hypercentral and generalize a few available results.
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Translated from Sibirskii Matematicheskii Zhurnal, 2021, Vol. 62, No. 5, pp. 1061–1072. https://doi.org/10.33048/smzh.2021.62.508
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Li, B., Chen, Q. & Qiaolin, C. On Some Criteria of \( f \)-Hypercentral Actions of Finite Groups. Sib Math J 62, 859–867 (2021). https://doi.org/10.1134/S0037446621050086
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DOI: https://doi.org/10.1134/S0037446621050086