Journal of Group Theory ( IF 0.466 ) Pub Date : 2020-11-06 , DOI: 10.1515/jgth-2020-0087
Jiakuan Lu; Kaisun Wu; Wei Meng

Let 𝐺 be a finite group. An irreducible character of 𝐺 is called a 𝒫-character if it is an irreducible constituent of $(1H)G$ for some maximal subgroup 𝐻 of 𝐺. In this paper, we obtain some conditions for a solvable group 𝐺 to be 𝑝-nilpotent or 𝑝-closed in terms of 𝒫-characters.

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