This analysis reveals connections between element orders and solvability in finite groups, suggesting deeper structural insights.
Let [Formula: see text] be a finite group and [Formula: see text], where [Formula: see text] denotes the order of [Formula: see text]. In this paper, we study the function [Formula: see text], where [Formula: see text] is a real number, and we investigate the influence of [Formula: see text] on cyclicity, nilpotency, supersolvability and solvability of a finite group [Formula: see text].
No takes yet. Share an insight, caveat, or question.
Azad et al. (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: