Characterization of A9 and L4(3) by order and irreducible character degrees

Subject Areas : International Journal of Industrial Mathematics

مژگان مختاری ¹ , علی ایرانمنش ² , ابوالفضل تهرانیان ³

1 - Department of Mathematics, Science and Research Branch, Islamic Azad University,Tehran, Iran
2 - Tarbiat Modares University
3 - Department of Mathematics, Science and Research Branch , Islamic Azad University,Tehran,Iran

Received: 2021-04-20 Accepted : 2024-08-05 Published : 2024-10-06

Keywords: Almost simple group, Character degree, Order, Complex groups algebra, Characterization,

Abstract :

In this paper, we characterize two simple K4-groups, the alternating group A9 and L4(3) by less information of their character degrees, their orders and at most two irreducible character degrees . As a consequence, we show that A9 and L4(3) are uniquely determined by the structure of their complex group algebras.