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

Autor:	Wang, Hongning, Zhang, Xuning, Zhang, Selina, Chen, Michelle
Předmět:	NONABELIAN groups FINITE groups
Zdroj:	Communications in Algebra; 2024, Vol. 52 Issue 3, p1336-1348, 13p
Abstrakt:	Let G be a finite group and χ ∈ Irr (G) . The codegree of χ is defined as cod (χ) = | G : ker (χ) | / χ (1) and cod (G) = { cod (χ) | χ ∈ Irr (G) } is called the set of codegrees of G. In this paper, we show that the set of codegrees of U 4 (2) , S 4 (q) (q = 2 f ≥ 4) , U 4 (3) , 2 F 4 (2) ′ , J 3 , G 2 (3) , A 9 , J 2 , PSL (4 , 3) , McL , S 4 (5) , G 2 (4) , HS , O ′ N and M 24 determines the group up to isomorphism. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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