| Quellcodebibliothek Statistik Leitseite products/sources/formale Sprachen/GAP/pkg/rcwa/data/3ctsgroups6/ (Algebra von RWTH Aachen Version 4.15.1©) Datei vom 22.8.2025 mit Größe 726 kB |
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Quelle abelianinvariants.g Sprache: unbekannt |
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#############################################################################
## #W abelianinvariants.g GAP4 Package `RCWA' Stefan Kohl ## ## Data library of groups generated by 3 class transpositions which inter- ## change residue classes with moduli <= 6: part containing lists of ## abelian invariants. ## ## For all i in [1..52394] for which grps[i] is finite, ## abelianinvariants[i] is a list containing the abelian invariants ## - of grps[i], ## - of the derived subgroup of grps[i], ## - of the derived subgroup of the derived subgroup of grps[i], ## ... ## until the perfect residuum (i.e., until the empty list). ## ## For all i in [1..52394] for which grps[i] is infinite, the stored data ## is that for the source of a not necessarily injective epimorphism onto ## grps[i]. Improving the stored data means making that preimage smaller. ## ############################################################################# local abinvset, abinvpos, abelianinvariants; abinvset := [ [ [ ] ],[ [ 2 ],[ ] ],[ [ 2 ],[ 3 ],[ ] ], [ [ 2 ],[ 3 ],[ 2,2 ],[ ] ], [ [ 2 ],[ 3 ],[ 2,2 ],[ 3,3,3 ],[ ] ],[ [ 2 ],[ 3,3 ],[ ] ], [ [ 2 ],[ 3,3 ],[ 0,0 ] ],[ [ 2 ],[ 3,3 ],[ 0,0,2,2 ] ], [ [ 2 ],[ 3,3 ],[ 0,0,2,2,2,2 ] ], [ [ 2 ],[ 3,3 ],[ 0,0,2,2,5,5 ] ], [ [ 2 ],[ 3,3 ],[ 0,0,4,4 ] ], [ [ 2 ],[ 3,3 ],[ 2,2,2,2 ],[ ] ], [ [ 2 ],[ 3,3 ],[ 2,2,2,2,2,2 ],[ ] ], [ [ 2 ],[ 3,3,5 ], [ 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3 ] ], [ [ 2,2 ],[ ] ],[ [ 2,2 ],[ 0 ] ],[ [ 2,2 ],[ 0,3 ] ], [ [ 2,2 ],[ 0,3,3 ] ],[ [ 2,2 ],[ 0,3,3,5,5 ] ], [ [ 2,2 ],[ 0,3,9 ] ],[ [ 2,2 ],[ 0,5 ] ], [ [ 2,2 ],[ 0,7,7 ] ],[ [ 2,2 ],[ 2 ],[ ] ], [ [ 2,2 ],[ 2 ],[ 3,3 ],[ ] ], [ [ 2,2 ],[ 2 ],[ 3,3 ],[ 0,0,0,0,2,2,2,2 ] ], [ [ 2,2 ],[ 2 ],[ 3,3 ], [ 0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2 ] ], [ [ 2,2 ],[ 2 ],[ 3,3 ],[ 2,2,2,2 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2026-04-02