C8
Revision as of 22:18, 26 August 2018 by Charles Eaton (talk | contribs) (Created page with "== Blocks with defect group <math>C_8</math> == These are blocks with cyclic defect groups and so they are described by Brauer trees. There is a unique <math>\mathca...")
Blocks with defect group [math]C_8[/math]
These are blocks with cyclic defect groups and so they are described by Brauer trees.
There is a unique [math]\mathcal{O}[/math]-Morita equivalence class.
| Class | Representative | [math]k(B)[/math] | [math]l(B)[/math] | Inertial quotients | [math]{\rm Pic}_\mathcal{O}(B)[/math] | [math]{\rm Pic}_k(B)[/math] | [math]{\rm mf_\mathcal{O}(B)}[/math] | [math]{\rm mf_k(B)}[/math] | Notes |
|---|---|---|---|---|---|---|---|---|---|
| [math]M(8,1,1)[/math] | [math]kC_8[/math] | 8 | 1 | [math]1[/math] | [math]C_8:C_4[/math] | 1 | 1 |
