OD-Characterization of Symmetric Group S57

Abstract:

In this paper, we show that the symmetric group can be characterized by its order and degree pattern. In fact, we get the following theorem: Let G be a finite group such that and . Then G is isomorphisic to one of the almost simple groups: and . Particularly, is 3-fold OD-characterizable.

• Periodical: Advanced Materials Research (Volumes 834-836)
• Pages: 1799-1802
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.834-836.1799
• Online since: October 2013
• Authors: Mei Yang
• Keywords: Degree of a Vertex, Degree Pattern, Finite Group, Prime Graph

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