ON THE SUM OF INVERSES OF SUBGROUP ORDERS IN FINITE GROUPS

Abstract

Let G be a finite group and $f(G)=\sum_{H\leq G}\frac{1}{|H|}$\, i.e. let f(G) be the sum of inverses of the orders of all subgroups H of G. In this note, we study the finite groups G such that f(G) is no greater than 2.

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