A new characterization for the simple group PSL(2, p (2)) by order and some character degrees

作者：Khosravi Behrooz; Khosravi Behnam; Khosravi Bahman; Momen Zahra

来源：Czechoslovak Mathematical Journal, 2015, 65(1): 271-280.

DOI：10.1007/s10587-015-0173-6

• character degree
• order
• projective special linear group

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 theta such that 2p | theta(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.

• 出版日期2015-3