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

Shitian Liu

doi:10.4171/rsmup/172

JournalsrsmupVol. 155pp. 181–191

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

Shitian Liu
Sichuan University of Arts and Science, Dazhou Sichuan, P. R. China; Guangxi Normal University, Guilin Guangxi, P. R. China

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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.

Cite this article

Shitian Liu, On the average degree sum of proper subgroups of a finite group. Rend. Sem. Mat. Univ. Padova 155 (2026), pp. 181–191

DOI 10.4171/RSMUP/172