Difference between revisions of "C4"

From Block library
Jump to: navigation, search
(Categories and Pic_k)
m
 
Line 3: Line 3:
 
== Blocks with defect group <math>C_4</math> ==
 
== Blocks with defect group <math>C_4</math> ==
  
These are blocks with [[cyclic defect groups]] and so they are described by [[Brauer trees]].
+
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.
 
There is a unique <math>\mathcal{O}</math>-Morita equivalence class.

Latest revision as of 10:18, 22 November 2018

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