Title of article :
Group nilpotency from a graph point of view
Author/Authors :
Grazian ، Valentina Dipartimento di Matematica e Applicazioni - Università di Milano-Bicocca , Lucchini ، Andrea Dipartimento di Matematica - Università di Padova , Monetta ، Carmine Dipartimento di Matematica - Università di Salerno
From page :
351
To page :
367
Abstract :
Let ΓG 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 ΓH is isomorphic to ΓG 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.
Keywords :
Graph isomorphism , nilpotency
Journal title :
International Journal of Group Theory
Journal title :
International Journal of Group Theory
Record number :
2781526
Link To Document :
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