C16

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Blocks with defect group [math]C_{16}[/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(16,1,1) [math]kC_{16}[/math] 1 16 1 [math]1[/math] [math]C_{16}:(C_4 \times C_2)[/math] [math]k^{14}:k^*[/math] 1 1