Extended table of marks library |
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Tables of Marks Contact: Thomas Breuer ( Thomas.Breuer@Math.RWTH-Aachen.DE) Last Update: 1999/9/6 |
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Currently we cannot state that the library of Tables of Marks in GAP 4 contains the Tables of Marks of all nonabelian simple groups until McL (page 100 in the ATLAS), but ``the only'' missing groups are L3(13), S4(7), U3(13), and several L2(q). It would be good if these tables could be added. As for the L2(q) case, the best solution would be a generic table of marks (along the lines of the description of the subgroups of PSL(2,q) for example in Huppert's book).
Another candidate for the computation of the table of marks is the sporadic simple O'Nan group. As its maximal subgroups are comparatively small, this should be not too difficult with the methods developed by Götz Pfeiffer and Thomas Merkwitz. (Already 9 or 10 years ago, the computation of possible permutation characters of the O'Nan group from the character table was surprisingly easy.)
The project to extend the library of Tables of Marks would be a chance to translate the GAP 3 code for the interactive construction of tables of marks (written by Götz and Thomas) to GAP 4.