Some properties of normal subgroups determined from carácter tables

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dc.contributor.authorMarc-Kelly Jean Fillipe
dc.date.accessioned2025-09-02T13:43:59Z
dc.date.available2025-09-02T13:43:59Z
dc.date.issued2024-04-09
dc.descriptionPublicado por la revista: Bulletin of the Malasyan Mathematical Sciences Society. (2024) 47:90.
dc.description.abstractG-character tables of a finite group G were defined in Felipe et al. (Quaest Math, 2022. https://doi.org/10.2989/16073606/16073606.2022.2040633). These tables can be very useful to obtain certain structural information of a normal subgroup from the character table of G. We analyze certain structural properties of normal subgroups which can be determined using their G-character tables. For instance, we prove an extension of the Thompson’s theorem from minimal G-invariant characters of a normal subgroup. We also obtain a variation of Taketa’s theorem for hypercentral normal subgroups considering their minimal G-invariant characters. This generalization allows us to introduce a new class of nilpotent groups, the class of nMI-groups, whose members verify that its nilpotency class is bounded by the number of irreducible character degrees of the group
dc.identifier.citationJean Philippe, M.-K. (2024). Some properties of normal subgroups determined from carácter tables. Bulletin of the Malaysian Mathematical Sciences Society, 47, 90.
dc.identifier.urihttps://repositoriovip.uasd.edu.do/handle/123456789/1038
dc.language.isoen
dc.relation.ispartofseries2024; 25
dc.titleSome properties of normal subgroups determined from carácter tables
dc.typeArticle
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