Abstract
Let G be a finite group and p a prime number. We prove that if G is a finite group of order |PSL(2, p 2)| such that G has an irreducible character of degree p 2 and we know that G has no irreducible character θ such that 2p | θ(1), then G is isomorphic to PSL(2, p 2).As a consequence of our result we prove that PSL(2, p 2) is uniquely determined by the structure of its complex group algebra.
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