Difference between revisions of "Template:Blockbox"
(Index p covering and PI(B)) |
|||
Line 80: | Line 80: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
− | <th><math>k</math>-derived equivalent to</th> | + | <th><math>k</math>-derived equivalent to:</th> |
<td>{{{k-derived}}}</td> | <td>{{{k-derived}}}</td> | ||
</tr> | </tr> | ||
Line 88: | Line 88: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
− | <th><math>p'</math>-index covering blocks</th> | + | <th><math>p'</math>-index covering blocks:</th> |
<td>{{{coveringblocks}}}</td> | <td>{{{coveringblocks}}}</td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
− | <th><math>p'</math>-index covered blocks</th> | + | <th><math>p'</math>-index covered blocks:</th> |
<td>{{{coveredblocks}}}</td> | <td>{{{coveredblocks}}}</td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
− | <th>Index <math>p</math> covering blocks</th> | + | <th>Index <math>p</math> covering blocks:</th> |
<td>{{{pcoveringblocks}}}</td> | <td>{{{pcoveringblocks}}}</td> | ||
</tr> | </tr> | ||
</table> | </table> | ||
</div> | </div> |
Revision as of 17:38, 21 October 2018
Blockbox
[[File:{{{image}}}|250px]]
Representative: | {{{representative}}} |
---|---|
Defect groups: | {{{defect}}} |
Inertial quotients: | {{{inertialquotients}}} |
[math]k(B)=[/math] | {{{k(B)}}} |
[math]l(B)=[/math] | {{{l(B)}}} |
[math]{\rm mf}_k(B)=[/math] | {{{k-morita-frob}}} |
[math]{\rm Pic}_k(B)=[/math] | {{{Pic-k}}} |
Cartan matrix: | {{{cartan}}} |
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}}} |