Difference between revisions of "M(3,1,1)"

From Block library
Jump to: navigation, search
Line 3: Line 3:
 
|image =  
 
|image =  
 
|representative = <math>kC_3</math>  
 
|representative = <math>kC_3</math>  
|defect = <math>kC_3</math>
+
|defect = [[C3|<math>C_3</math>]]
 
|inertialquotients = <math>1</math>
 
|inertialquotients = <math>1</math>
 
|k(B) = 3
 
|k(B) = 3

Revision as of 18:26, 29 August 2018

M(3,1,1)
[[File:|250px]]
Representative: [math]kC_3[/math]
Defect groups: [math]C_3[/math]
Inertial quotients: [math]1[/math]
[math]k(B)=[/math] 3
[math]l(B)=[/math] 1
[math]{\rm mf}_k(B)=[/math] 1
[math]{\rm Pic}_k(B)=[/math] {{{Pic-k}}}
Cartan matrix: [math]\left( \begin{array}{c} 3 \\ \end{array} \right)[/math]
Defect group Morita invariant? {{{defect-morita-inv?}}}
Inertial quotient Morita invariant? {{{inertial-morita-inv?}}}
[math]\mathcal{O}[/math]-Morita classes known? {{{O-morita?}}}
[math]\mathcal{O}[/math]-Morita classes: {{{O-morita}}}
Decomposition matrices: {{{decomp}}}
[math]{\rm mf}_\mathcal{O}(B)=[/math] {{{O-morita-frob}}}
[math]{\rm Pic}_{\mathcal{O}}(B)=[/math] {{{Pic-O}}}
[math]PI(B)=[/math] {{{PIgroup}}}
Source algebras known? {{{source?}}}
Source algebra reps: {{{sourcereps}}}
[math]k[/math]-derived equiv. classes known? {{{k-derived-known?}}}
[math]k[/math]-derived equivalent to: {{{k-derived}}}
[math]\mathcal{O}[/math]-derived equiv. classes known? {{{O-derived-known?}}}
[math]p'[/math]-index covering blocks: {{{coveringblocks}}}
[math]p'[/math]-index covered blocks: {{{coveredblocks}}}
Index [math]p[/math] covering blocks: {{{pcoveringblocks}}}