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Robinson’s conjecture on heights of characters
| Content Provider | Scilit |
|---|---|
| Author | Feng, Zhicheng Li, Conghui Liu, Yanjun Malle, Gunter Zhang, Jiping |
| Copyright Year | 2019 |
| Description | Journal: Compositio Mathematica Geoffrey Robinson conjectured in 1996 that the $p$ -part of character degrees in a $p$ -block of a finite group can be bounded in terms of the center of a defect group of the block. We prove this conjecture for all primes $p\neq 2$ for all finite groups. Our argument relies on a reduction by Murai to the case of quasi-simple groups which are then studied using deep results on blocks of finite reductive groups. |
| Ending Page | 1117 |
| Starting Page | 1098 |
| ISSN | 00221295 |
| e-ISSN | 15705846 |
| DOI | 10.1112/s0010437x19007267 |
| Journal | Compositio Mathematica |
| Issue Number | 6 |
| Volume Number | 155 |
| Language | English |
| Publisher | Wiley-Blackwell |
| Publisher Date | 2019-06-01 |
| Access Restriction | Open |
| Subject Keyword | Journal: Compositio Mathematica Mathematical Physics |
| Content Type | Text |
| Resource Type | Article |
| Subject | Algebra and Number Theory |