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math.GR2018
OD-Characterization of Some Simple Unitary Groups
M. Akbari, X. Y. Chen, F. Hassani +1
The degree pattern of a finite group is the degree sequence of its prime graph in ascending order of vertices. We say that the problem of OD-characterization is solved for a finite…
math.GR2018
An OD-Characterizable Class of Simple Groups
Majid Akbari, Xiaoyou Chen, Alireza Moghaddamfar
It is proved that finite nonabelian simple groups with are uniquely determined by their order and degree pattern in the class of all finite groups.
math.GR2018
Some properties of various graphs associated with finite groups
Xiaoyou Chen, Alireza Moghaddamfar, Mahsa Zohourattar
In this paper we have investigated some properties of the power graph and commuting graph associated with a finite group, using their tree-numbers. Among other things, it has been…