Abstract
We apply an orbit theorem to a few questions about character degrees. We investigate the relation of the number of conjugacy classes where characters vanish and the length of the solvable groups. As another application, we give a bound for the size of defect groups of blocks of solvable groups.
Communicated by J. Zhang
Keywords:
2000 Mathematics Subject Classification:
Acknowledgment
The author is grateful to the referee for valuable suggestions and comments.