Isaacs' Generalization of Taketa's theorem

Fuente: arXiv
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Autori principali: Chen, Xiaoyou, Lewis, Mark L.
Natura: Preprint
Pubblicazione: 2025
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author Chen, Xiaoyou
Lewis, Mark L.
author_facet Chen, Xiaoyou
Lewis, Mark L.
contents We generalize the definition of pseudo monomial characters and $M$-groups to the Brauer character and Isaacs' $π$-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.
format Preprint
id arxiv_https___arxiv_org_abs_2511_07389
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Isaacs' Generalization of Taketa's theorem
Chen, Xiaoyou
Lewis, Mark L.
Group Theory
Primary 20C20, Secondary 20C15
We generalize the definition of pseudo monomial characters and $M$-groups to the Brauer character and Isaacs' $π$-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.
title Isaacs' Generalization of Taketa's theorem
topic Group Theory
Primary 20C20, Secondary 20C15
url https://arxiv.org/abs/2511.07389