Linear Group L3(4) Ext Dimensions<title> </head> <body> <big style="font-weight: bold;"><big>Ext Dimensions for simple modules of block 1 for L3(4) in characteristic 2</big></big><br> <p><p>First column gives names of simples in the Basic algebra.<br> φ<sub>i</sub> refers to the corresponding simple in the Atlas of Brauer Characters.<br> <p><p> <table style="text-align: center; vertical-align: middle;" border="1" cellpadding="2" cellspacing="2"> <tbody> <tr> <td></td> <td></td> <td style="text-align: center;">φ<sub>fail</sub></td> <td style="text-align: center;">φ<sub>fail</sub></td> <td style="text-align: center;">φ<sub>fail</sub></td> <td style="text-align: center;">φ<sub>fail</sub></td> <td style="text-align: center;">φ<sub>fail</sub></td> </tr> <tr> <td style="text-align: center;">1a</td> <td style="text-align: center;">φ<sub>fail</sub></td> <td style="text-align: center;">0</td> <td style="text-align: center;">2</td> <td style="text-align: center;">2</td> <td style="text-align: center;">0</td> <td style="text-align: center;">0</td> </tr> <tr> <td style="text-align: center;">1b</td> <td style="text-align: center;">φ<sub>fail</sub></td> <td style="text-align: center;">2</td> <td style="text-align: center;">0</td> <td style="text-align: center;">0</td> <td style="text-align: center;">1</td> <td style="text-align: center;">1</td> </tr> <tr> <td style="text-align: center;">1c</td> <td style="text-align: center;">φ<sub>fail</sub></td> <td style="text-align: center;">2</td> <td style="text-align: center;">0</td> <td style="text-align: center;">0</td> <td style="text-align: center;">1</td> <td style="text-align: center;">1</td> </tr> <tr> <td style="text-align: center;">2a</td> <td style="text-align: center;">φ<sub>fail</sub></td> <td style="text-align: center;">0</td> <td style="text-align: center;">1</td> <td style="text-align: center;">1</td> <td style="text-align: center;">0</td> <td style="text-align: center;">0</td> </tr> <tr> <td style="text-align: center;">2b</td> <td style="text-align: center;">φ<sub>fail</sub></td> <td style="text-align: center;">0</td> <td style="text-align: center;">1</td> <td style="text-align: center;">1</td> <td style="text-align: center;">0</td> <td style="text-align: center;">0</td> </tr> </tr> </tbody> </table> </body> </html>