For a character χ of a finite group G, the number cod(χ) := |G : ker(χ)|/χ(1) is called the codegree of χ. In this paper, we give a solvability criterion for a finite group G depending on the minimum of the ratio χ(1)2/cod(χ), when χ varies among the irreducible characters of G.
机构:
Kent State Univ, Dept Math Sci, Kent, OH 44242 USAKent State Univ, Dept Math Sci, Kent, OH 44242 USA
Lewis, Mark L.
Yan, Quanfu
论文数: 0引用数: 0
h-index: 0
机构:
Kent State Univ, Dept Math Sci, Kent, OH 44242 USA
Peking Univ, Sch Math Sci, Beijing 100871, Peoples R ChinaKent State Univ, Dept Math Sci, Kent, OH 44242 USA
机构:
Inst Res Fundamental Sci IPM, Sch Math, POB 19395-5746, Tehran, IranAmirkabir Univ Technol, Fac Math & Comp Sci, Tehran Polytech, Tehran 15914, Iran
Ebrahimi, Mehdi
Khatami, Maryam
论文数: 0引用数: 0
h-index: 0
机构:
Univ Isfahan, Fac Math & Stat, Dept Pure Math, Esfahan 8174673441, IranAmirkabir Univ Technol, Fac Math & Comp Sci, Tehran Polytech, Tehran 15914, Iran