# C4

Revision as of 11:18, 22 November 2018 by Charles Eaton (talk | contribs)

## Blocks with defect group [math]C_4[/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 | # lifts / [math]\mathcal{O}[/math] | [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(4,1,1) | [math]kC_4[/math] | 1 | 4 | 1 | [math]1[/math] | [math]D_8[/math] | [math](k \times k):k^*[/math] | 1 | 1 | 45px |