The p-Regular Class Length and the p-Rank in a p-Solvable Group

In Ref. [1], O. Martz investigated the relation between the character degrees and the p-rank in a p-solvable group. In Ref. [2], Y. Q. Wang investigated the relation between the Brauer character degrees and the p-rank in a p-solvable group. Correspondingly, D. Chillag and M. Herzog investigated the relation between the conjugacy class lengths and the p-rank in a solvable group. In this note, we improve the

<正> In Ref. [1], O. Martz investigated the relation between the character degrees and the p-rank in a p-solvable group. In Ref. [2], Y. Q. Wang investigated the relation between the Brauer character degrees and the p-rank in a p-solvable group. Correspondingly, D. Chillag and M. Herzog investigated the relation between the conjugacy class lengths and the p-rank in a solvable group. In this note, we improve the re