Difference between revisions of "C8"
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Revision as of 21:22, 26 August 2018
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_2 \times C2)[/math] | 1 | 1 |
