Abstract
Let π be a set of primes and let H be a π-prefrattini subgroup of a finite soluble group G. We prove that there exist elements x, y, z ∈ G such that H ∩ Hx ∩ Hy ∩ Hz = Φπ(G).
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The first author was supported by the NNSF of China (Grant 11471055) and the Zhejiang Provincial Natural Science Foundation of China (Grant LY18A010028).
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Translated from Sibirskii Matematicheskii Zhurnal, vol. 60, no. 1, pp. 74–81, January–February, 2019; DOI: 10.17377/smzh.2019.60.106.
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Yi, X., Kamornikov, S.F. & Xiao, L. On the Characterization of the Core of a π-Prefrattini Subgroup of a Finite Soluble Group. Sib Math J 60, 56–61 (2019). https://doi.org/10.1134/S0037446619010063
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DOI: https://doi.org/10.1134/S0037446619010063