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On the Characterization of the Core of a π-Prefrattini Subgroup of a Finite Soluble Group

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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 ∈… Click to show full 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).

Keywords: prefrattini subgroup; soluble group; subgroup finite; finite soluble; characterization core

Journal Title: Siberian Mathematical Journal
Year Published: 2019

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