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arXiv · 2210.11564

The impact of the solubilizer of an element on the structure of a finite group

Hamid Mousavi·Mina Poozesh·Yousef Zamani
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Abstract

Let $G$ be a finite group, and let $x$ be an element of $G$. Denote by $\Sol_G(x)$ the set of all $y \in G$ such that the group generated by $x$ and $y$ is soluble. We investigate the influence of $\Sol_G(x)$ on the structure of $G$.

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Hamid Mousavi, Mina Poozesh, Yousef Zamani. 2022-10-20. The impact of the solubilizer of an element on the structure of a finite group. https://arxiv.org/abs/2210.11564

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