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arXiv · 2606.09524

On the Quartic-free A-groups

Prashun Kumar
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Abstract

A finite group is said to be quartic-free if its order is not divisible by $p^4$ of any prime $p$. A finite group is called an $A$-group if all of its Sylow subgroups are abelian. Objective of this paper is to provide explicit structure of a quartic-free $A$-group. Further in the process of providing the explicit structure we also determine the derived length of a solvable quartic-free $A$-group.

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Prashun Kumar. 2026-06-08. On the Quartic-free A-groups. https://arxiv.org/abs/2606.09524

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