A new characterization for the simple group by order and some character degrees
Behrooz Khosravi, Behnam Khosravi, Bahman Khosravi, Zahra Momen (2015)
Czechoslovak Mathematical Journal
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Let be a finite group and a prime number. We prove that if is a finite group of order such that has an irreducible character of degree and we know that has no irreducible character such that , then is isomorphic to . As a consequence of our result we prove that is uniquely determined by the structure of its complex group algebra.