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arXiv · 2604.23664

Solvability of Groups via Cyclic Subgroup Count

Angsuman Das·Khyati Sharma
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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.

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Angsuman Das, Khyati Sharma. 2026-04-26. Solvability of Groups via Cyclic Subgroup Count. https://arxiv.org/abs/2604.23664

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