Year: 2026
Type: article
Abstract: Given a finite group [Formula: see text], we denote by [Formula: see text] the sum of element orders of [Formula: see text]. In this paper, we determine finite groups [Formula: see text] such that [Formula: see text] divides [Formula: see text] for all subgroups [Formula: see text]. Two weaker conditions are also proposed.
Author: Marius Tărnăuceanu
Institution: Alexandru Ioan Cuza University
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7202257459
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