Group nilpotency from a graph point of view
نویسندگان
1 Dipartimento di Matematica e Applicazioni, Università di Milano-Bicocca, Milano, Italy
2 Dipartimento di Matematica, Università di Salerno, Salerno, Italy
3 Dipartimento di Matematica, Università di Padova, Padova, Italy
doi
10.22108/ijgt.2023.137059.1834چکیده
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.
