Ukrainian Mathematical Journal

, Volume 66, Issue 7, pp 1126–1129 | Cite as

A Note on a Bound of Adan-Bante

  • Xiaoyou Chen

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


Complex Conjugate Nonnegative Integer Henan Province Education Department Vector Space Versus 
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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • Xiaoyou Chen
    • 1
  1. 1.College of SciencesHenan University of TechnologyZhengzhouChina

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