2019
Том 71
№ 7

All Issues

Chen Xiaoyou

Articles: 1
Brief Communications (English)

A Note on a Bound of Adan-Bante

Chen Xiaoyou

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2014. - 66, № 7. - pp. 1006–1008

Let G be a finite solvable group and let χ be a nonlinear irreducible (complex) character of G. Also let \( \eta \) (χ) be the number of nonprincipal irreducible constituents of \( \upchi \overline{\upchi} \) , where \( \overline{\upchi} \) denotes the complex conjugate of χ. Adan-Bante proved that there exist constants C and D such that dl (G/ ker χ) ≤ C \( \eta \) (χ) +D. In the present work, we establish a bound lower than the Adan-Bante bound for \( \eta \) (χ) > 2