Year: 2023
Author: Jiakuan Lu, Meiqun Kuang, Kaixun Wu, Boru Zhang
Journal of Mathematical Study, Vol. 56 (2023), Iss. 4 : pp. 340–344
Abstract
Let G be a finite group and σ_1(G) = \frac{1}{|G|} ∑_{H≤G} |H|. In this paper, we prove that if G is a nonsolvable group and σ_1(G)=\frac{117}{ 20}, then G= A_5.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v56n4.23.02
Journal of Mathematical Study, Vol. 56 (2023), Iss. 4 : pp. 340–344
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 5
Keywords: Finite groups Solvable groups subgroup orders.