Solvability of Groups via Cyclic Subgroup Count
Group Theory
2026-04-28 v1
Abstract
In this paper, we provide new criteria for the solvability and supersolvability of a finite group based on its number of cyclic subgroups. A finite group G is called n-cyclic if it contains n cyclic subgroups. This paper also partially extends the classification of n-cyclic groups for n\geq 13.
Cite
@article{arxiv.2604.23664,
title = {Solvability of Groups via Cyclic Subgroup Count},
author = {Angsuman Das and Khyati Sharma},
journal= {arXiv preprint arXiv:2604.23664},
year = {2026}
}
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