C2
Revision as of 09:06, 31 August 2018 by Charles Eaton (talk | contribs)
Blocks with defect group [math]C_2[/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 |
---|---|---|---|---|---|---|---|---|---|
M(2,1,1) | [math]kC_2[/math] | 2 | 1 | [math]1[/math] | [math]C_2[/math] | [math]k[/math] | 1 | 1 |