In this paper we prove that a finite group of order r has at most 7.3722⋅r[Formula present]+1.5315 subgroups.
Spiga, P. (2023). An explicit upper bound on the number of subgroups of a finite group. JOURNAL OF PURE AND APPLIED ALGEBRA, 227(6 (June 2023)) [10.1016/j.jpaa.2022.107312].
An explicit upper bound on the number of subgroups of a finite group
Spiga P.
2023
Abstract
In this paper we prove that a finite group of order r has at most 7.3722⋅r[Formula present]+1.5315 subgroups.
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