On Frobenius graphs of diameter 3 for finite groups

For a subgroup H of a finite group G , the Frobenius graph Γ ( G , H ) records the constituents of the restrictions to H of the irreducible characters of G . We investigate when this graph has diameter 3.

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Publication Details

Journal
Journal of Algebra
Published
2024-12-06
DOI
https://doi.org/10.1016/j.jalgebra.2024.11.014
Citations
1
Primary Topic
Finite Group Theory Research
Type
article
Field-Weighted Citation Impact
1.32

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article

On Frobenius graphs of diameter 3 for finite groups

Burkhard Külshammer, Thomas Breuer, Erzsébet Horváth, László Héthelyi
1 citations
Journal of Algebra
Finite Group Theory Research
1.32
article

On Frobenius graphs of diameter 3 for finite groups

Burkhard Külshammer, Thomas Breuer, Erzsébet Horváth, László Héthelyi
article en
1 citations

Abstract

For a subgroup H of a finite group G , the Frobenius graph Γ ( G , H ) records the constituents of the restrictions to H of the irreducible characters of G . We investigate when this graph has diameter 3.

Journal of AlgebraVol. 666
Budapest University of Technology and Economics (HU), Friedrich Schiller University Jena (DE), RWTH Aachen University (DE)
Deutsche Forschungsgemeinschaft, Nemzeti Kutatási és Technológiai Hivatal
Openalex Percentile: Top 19%
Finite Group Theory Research
1.32
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