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arXiv · 2303.01093

Group nilpotency from a graph point of view

Valentina Grazian·Andrea Lucchini·Carmine Monetta
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Abstract

Let $\Gamma_G$ denote a graph associated with a group $G$. A compelling question about finite groups asks whether or not a finite group $H$ must be nilpotent provided $\Gamma_H$ is isomorphic to $\Gamma_G$ for a finite nilpotent group $G$. In the present work we analyze the problem for different graphs that one can associate with a finite group, both reporting on existing answers and contributing to new ones.

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Valentina Grazian, Andrea Lucchini, Carmine Monetta. 2023-03-02. Group nilpotency from a graph point of view. https://arxiv.org/abs/2303.01093

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