On the average degree sum of proper subgroups of a finite group

In this paper, the structure of a finite group G when all proper subgroups H of G satisfy that the average degree sum of H is \leq 2 is determined.

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Publication Details

Journal
Rendiconti del Seminario Matematico della Università di Padova
Published
2024-10-24
DOI
https://doi.org/10.4171/rsmup/172
Primary Topic
Finite Group Theory Research
Type
article
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article

On the average degree sum of proper subgroups of a finite group

Shitian Liu
Rendiconti del Seminario Matematico della Università di Padova
Finite Group Theory Research
article

On the average degree sum of proper subgroups of a finite group

Shitian Liu
article en

Abstract

In this paper, the structure of a finite group G when all proper subgroups H of G satisfy that the average degree sum of H is \leq 2 is determined.

Rendiconti del Seminario Matematico della Università di PadovaVol. 155
Guangxi Normal University (CN), Sichuan University of Arts and Science (CN)
Reduced inequalities
Openalex Percentile: Top 66%
Finite Group Theory Research
DOIOpen Access PDFOpenAlex
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On the average degree sum of proper subgroups of a finite group — Shitian Liu · Rendiconti del Seminario Matematico della Università di Padova (2024) | TGRS Research Map | TGRS