A Note on a Paper of Aivazidis, Safonova and Skiba

Autor: M. M. Al-Shomrani, Adolfo Ballester-Bolinches, A. A. Heliel
Rok vydání: 2021
Předmět:
Zdroj: Mediterranean Journal of Mathematics. 18
ISSN: 1660-5454
1660-5446
DOI: 10.1007/s00009-021-01872-9
Popis: The main result of this paper states that if $${\mathcal {F}}$$ is a subgroup-closed saturated formation of full characteristic, then the $${\mathcal {F}}$$ -residual of a K- $${\mathcal {F}}$$ -subnormal subgroup S of a finite group G is a large subgroup of G provided that the $${\mathcal {F}}$$ -hypercentre of every subgroup X of G containing S is contained in the $${\mathcal {F}}$$ -residual of X. This extends a recent result of Aivazidis, Safonova and Skiba.
Databáze: OpenAIRE
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