On the characterization of some non-abelian simple groups using codegree set

作者：Wang, Hongning; Zhang, Xuning^*; Zhang, Selina; Chen, Michelle

来源：Communications in Algebra, 2024, 52(3): 1336-1348.

DOI：10.1080/00927872.2023.2262039

• cod(G) = {cod(chi)|/chi is an element of Irr(G)
• finite group
• isomorphism r(chi)|/chi (1)
• chi is an element of Irr(G)

Let G be a finite group and chi is an element of Irr(G). The codegree of chi is defined as cod(chi) = |G : ker(chi)|/chi (1) and cod(G) = {cod(chi) | chi is an element of Irr(G)} is called the set of codegrees of G. In this paper, we show that the set of codegrees of U4(2), S4(q) (q = 2f >= 4), U4(3), (2)F4(2)', J3, G2(3), A9, J2, PSL(4, 3), McL, S-4(5), G(2)(4), HS, O'N and M24 determines the group up to isomorphism.