Characterization of A9 and L4(3) by order and irreducible character degrees
محورهای موضوعی : مجله بین المللی ریاضیات صنعتی
mozhgan mokhtari
1
,
Ali Iranmanesh
2
,
Abolfazl Tehranian
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
کلید واژه: Almost simple group, Character degree, Order, Complex groups algebra, Characterization,
چکیده مقاله :
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.
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.
