Recognition of some simple groups by character degree graph and order

چکیده مقاله

The character degree graph of a finite group G is the graph whose vertices are the prime divisors of the irreducible character degrees of G and two distinct vertices p₁ and p₂ are joined by an edge if p₁p₂ divides some irreducible character degree of G. In this paper, we prove that some finite simple groups are uniquely determined by their character degree graphs and their orders.