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- W3103459711 abstract "Abstract Let G be a finite group. An irreducible character of G is called a <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mi mathvariant=script>𝒫</m:mi> </m:math> {mathcal{P}} -character if it is an irreducible constituent of <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:msup> <m:mrow> <m:mo stretchy=false>(</m:mo> <m:msub> <m:mn>1</m:mn> <m:mi>H</m:mi> </m:msub> <m:mo stretchy=false>)</m:mo> </m:mrow> <m:mi>G</m:mi> </m:msup> </m:math> {(1_{H})^{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 <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mi mathvariant=script>𝒫</m:mi> </m:math> {mathcal{P}} -characters." @default.
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- W3103459711 date "2020-11-06" @default.
- W3103459711 modified "2023-09-25" @default.
- W3103459711 title "𝒫-characters and the structure of finite solvable groups" @default.
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- W3103459711 doi "https://doi.org/10.1515/jgth-2020-0087" @default.
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