Finite groups with few average orders of subgroups

For a finite group G , we define X(G)=\{ o(H)\mid H\leq G\} , where o(H) is the average of all order elements in H . In this paper, we classify finite groups in which |X(G)|\leq 4 .

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Publication Details

Journal
Rendiconti del Seminario Matematico della Università di Padova
Published
2025-02-06
DOI
https://doi.org/10.4171/rsmup/177
Primary Topic
Finite Group Theory Research
Type
article
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article

Finite groups with few average orders of subgroups

Bijan Taerı, Ziba Tooshmalani
Rendiconti del Seminario Matematico della Università di Padova
Finite Group Theory Research
article

Finite groups with few average orders of subgroups

Bijan Taerı, Ziba Tooshmalani
article en

Abstract

For a finite group G , we define X(G)=\{ o(H)\mid H\leq G\} , where o(H) is the average of all order elements in H . In this paper, we classify finite groups in which |X(G)|\leq 4 .

Rendiconti del Seminario Matematico della Università di Padova
Isfahan University of Technology (IR)
Openalex Percentile: Top 95%
Finite Group Theory Research
DOIOpen Access PDFOpenAlex
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Finite groups with few average orders of subgroups — Bijan Taerı, Ziba Tooshmalani · Rendiconti del Seminario Matematico della Università di Padova (2025) | TGRS Research Map | TGRS