A Note on a Bound of Adan-Bante

作者:Chen, Xiaoyou*
来源:Ukrainian Mathematical Journal, 2014, 66(7): 1126-1129.
DOI:10.1007/s11253-014-0987-7

摘要

Let G be a finite solvable group and let chi be a nonlinear irreducible (complex) character of G. Also let (chi) be the number of nonprincipal irreducible constituents of , where denotes the complex conjugate of chi. Adan-Bante proved that there exist constants C and D such that dl (G/ ker chi) a parts per thousand currency sign C (chi) +D. In the present work, we establish a bound lower than the Adan-Bante bound for (chi) > 2.

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