Groups with triangle‐free graphs on p$p$‐regular classes

Abstract Let be a prime. In this paper, we classify the ‐structure of those finite ‐separable groups such that, given any three non‐central conjugacy classes of ‐regular elements, two of them necessarily have coprime lengths.

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Publication Details

Journal
Mathematische Nachrichten
Published
2025-05-04
DOI
https://doi.org/10.1002/mana.202400554
Primary Topic
Finite Group Theory Research
Type
article
Field-Weighted Citation Impact
0.00

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article

Groups with triangle‐free graphs on p$p$‐regular classes

Víctor Sotomayor, María José Felipe, M. K. Jean‐Philippe
Mathematische Nachrichten
Finite Group Theory Research
article

Groups with triangle‐free graphs on p$p$‐regular classes

Víctor Sotomayor, María José Felipe, M. K. Jean‐Philippe
article en

Abstract

Abstract Let be a prime. In this paper, we classify the ‐structure of those finite ‐separable groups such that, given any three non‐central conjugacy classes of ‐regular elements, two of them necessarily have coprime lengths.

Mathematische NachrichtenVol. 298(6)
Universidad Autónoma de Santo Domingo (DO), Instituto Tecnológico de Santo Domingo (DO), Universitat Politècnica de València (ES)
Generalitat Valenciana, Universitat Politècnica de València
Openalex Percentile: Top 86%
Finite Group Theory Research
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