For a character χ of a finite group G, the number $χc (1)=\frac{[G:ker χ]}{χ(1)} $ is called the co-degree of χ. Let Sol(G) denote the solvable radical of G. In this paper, we show that if G is a finite non-solvable group with {χc(1)2 : χ∈Irr(G)={1,2m} for some positive integer m, then G/Sol(G) has a normal subgroup M/Sol(G) such that M/Sol(G) ≅ PSL2(2n) for some integer n≥2, [G:M] is odd and $G/Sol(G) \lesssim Aut(PSL2(2n)$.
Ahanjideh, N. (2023). Finite non-solvable groups with few $2$-parts of co-degrees of irreducible characters. AUT Journal of Mathematics and Computing, 4(1), 87-89. doi: 10.22060/ajmc.2022.21894.1119
MLA
Neda Ahanjideh. "Finite non-solvable groups with few $2$-parts of co-degrees of irreducible characters". AUT Journal of Mathematics and Computing, 4, 1, 2023, 87-89. doi: 10.22060/ajmc.2022.21894.1119
HARVARD
Ahanjideh, N. (2023). 'Finite non-solvable groups with few $2$-parts of co-degrees of irreducible characters', AUT Journal of Mathematics and Computing, 4(1), pp. 87-89. doi: 10.22060/ajmc.2022.21894.1119
VANCOUVER
Ahanjideh, N. Finite non-solvable groups with few $2$-parts of co-degrees of irreducible characters. AUT Journal of Mathematics and Computing, 2023; 4(1): 87-89. doi: 10.22060/ajmc.2022.21894.1119
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