Difference between revisions of "M(3,1,1)"
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| − | {{ | + | {{blockbox |
| − | |title = | + | |title = M(3,1,1) |
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| − | | | + | |representative = <math>kC_3</math> |
| − | | | + | |defect = <math>kC_3</math> |
| − | | | + | |inertialquotients = <math>1</math> |
| − | | | + | |k(B) = 3 |
| − | | | + | |l(B) = 1 |
| + | |k-morita-frob = 1 | ||
| + | |cartan = <math>\left( \begin{array}{c} | ||
| + | 3 \\ | ||
| + | \end{array} \right)</math> | ||
}} | }} | ||
Revision as of 18:46, 29 August 2018
M(3,1,1)
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| Representative: | [math]kC_3[/math] |
|---|---|
| Defect groups: | [math]kC_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}}} |
