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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This paper is dedicated to our parents, Professor Amir Khosravi and Soraya Khosravi
The first author would like to thank the Institute for Research in Fundamental Sciences (IPM) for the financial support. This research was in part supported by a grant from IPM (No. 92050120).
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Khosravi, B., Khosravi, B., Khosravi, B. et al. A new characterization for the simple group PSL(2, p 2) by order and some character degrees. Czech Math J 65, 271–280 (2015). https://doi.org/10.1007/s10587-015-0173-6
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DOI: https://doi.org/10.1007/s10587-015-0173-6