An explicit upper bound on the number of subgroups of a finite group

DOI10.1016/J.JPAA.2022.107312zbMATH Open1516.20054arXiv2210.02972MaRDI QIDQ6413111

Pablo Spiga

Publication date: 6 October 2022

Abstract: In this paper we prove that a finite group of order $r$ has at most ${\displaystyle }$ 7.3722cdot r^{frac{log_2r}{4}+1.5315}${\displaystyle }$ subgroups.

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60)

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