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math.GR2023★ 3 cited
Group nilpotency from a graph point of view
Valentina Grazian, Andrea Lucchini, Carmine Monetta
Let denote a graph associated with a group . A compelling question about finite groups asks whether or not a finite group must be nilpotent provided is isomorphi…
math.GR2023★ 4 cited
A conjecture related to the nilpotency of groups with isomorphic non-commuting graphs
Valentina Grazian, Carmine Monetta
In this work we discuss whether the non-commuting graph of a finite group can determine its nilpotency. More precisely, Abdollahi, Akbari and Maimani conjectured that if and $H…