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<p>We generalize the definition of pseudo monomial characters and <i>M</i>-groups to the Brauer character and Isaacs’ <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\pi \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>π</mi> </math></EquationSource> </InlineEquation>-partial character settings. We prove an analogs of Isaacs’s generalization of Taketa’s theorem in those settings. We consider other analogs of results regarding <i>M</i>-groups in those settings.</p>

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Isaacs’ generalization of Taketa’s theorem

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年6月23日

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  • Xiaoyou Chen,
  • Mark L. Lewis

摘要

We generalize the definition of pseudo monomial characters and M-groups to the Brauer character and Isaacs’ \(\pi \) π -partial character settings. We prove an analogs of Isaacs’s generalization of Taketa’s theorem in those settings. We consider other analogs of results regarding M-groups in those settings.