[GAP Forum] what does Group([ f1 ]), Group ([ f2 ]), mean.

abdulhakeem alayiwola lovepgroups at gmail.com
Mon Apr 20 11:10:32 BST 2015


when Gap list groups as shown below what does f1, f2, f3 and the rest stand
for...
gap> StructureDescription(A);
"C2 x D8"

You can also list the automorphisms explicitly:

gap> AsList(A);
[ [ f1*f3, f2*f4 ] -> [ f1*f3, f2*f4 ], [ f1*f3, f2*f4 ] -> [ f1, f2*f4 ],
  [ f1*f3, f2*f4 ] -> [ f1*f4, f2 ], [ f1*f3, f2*f4 ] -> [ f1*f3*f4, f2 ],
  [ f1*f3, f2*f4 ] -> [ f1*f3*f4, f2*f3*f4 ], [ f1*f3, f2*f4 ] -> [ f1*f4,
f2*f3 ],
  [ f1*f3, f2*f4 ] -> [ f1, f2*f3*f4 ], [ f1*f3, f2*f4 ] -> [ f1*f3, f2*f3
],
  [ f1*f3, f2*f4 ] -> [ f1*f3, f2 ], [ f1*f3, f2*f4 ] -> [ f1, f2 ],
  [ f1*f3, f2*f4 ] -> [ f1*f4, f2*f4 ], [ f1*f3, f2*f4 ] -> [ f1*f3*f4,
f2*f4 ],
  [ f1*f3, f2*f4 ] -> [ f1*f3*f4, f2*f3 ], [ f1*f3, f2*f4 ] -> [ f1*f4,
f2*f3*f4 ],
  [ f1*f3, f2*f4 ] -> [ f1, f2*f3 ], [ f1*f3, f2*f4 ] -> [ f1*f3, f2*f3*f4
] ]


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