• NONCOMMUTING GRAPH CHARACTERIZATION OF THE PROJECTIVE SPECIAL UNITARY GROUP...

Guangju Zeng, Wenjun Xu, Shitian Liu*

Abstract


There are intimate relations between nonabelian simple groups and noncommuting graphs . Abdollahi et al. put forward a conjecture called AAM's Conjecture in as follows: If is a finite nonabelian simple group and is a group such that , then . In this paper,we prove that this conjecture is true for the projective special unitary group .
Keywords: Nonabelian simple groups, Noncommuting graphs, Elements orders, Projective special unitary groups.

Subject Classification (2010): 20D10, 20D20.

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