Derived Lengths of Solvable Groups Having Five Irreducible Character Degrees I |
| |
| Authors: | Mark L. Lewis |
| |
| Affiliation: | (1) Department of Mathematics and Computer Science, Kent State University, Kent, OH, 44242, USA e-mail |
| |
| Abstract: | Let G be a solvable group with five character degrees. We show that the derived length of G is at most 5. This verifies that the Taketa inequality, dl(G) |cd(G)|, is valid for solvable groups with at most five character degrees. |
| |
| Keywords: | solvable groups character degrees derived length Taketa inequality |
| 本文献已被 SpringerLink 等数据库收录！ |
|
