Title of article :
Commutators-based graph in polygroup
Author/Authors :
Hamidi ، Mohammad Department of Mathematics - University of Payame Noor , Mohammadzadeh ، Elahe Department of Mathematics - University of Payame Noor , Amirmofidi ، Somayeh Department of Mathematics - University of Payame Noor
Abstract :
In this paper, first, we study commutators of a polygroup. Then for a finite polygroup and a fixed element , we introduce the -graph . In addition, with some additional conditions, we see that it is connected and the diameter is at most . Then, we investigate isomorphic graphs. Specially, we obtain a new isomorphic graph derived from an isomorphic graph and two non-commutative isomorphic polygroups. Also, we show that two polygroups with isomorphic graphs preserve nilpotency
Keywords :
Polygroup , Related graph , Commutator
Journal title :
Journal of Mahani Mathematical Research Center
Journal title :
Journal of Mahani Mathematical Research Center
