construct the stabilizer of a point in a permutation group
Stabilizer( alpha, G )
Stabiliser( alpha, G )
a permutation group
posint; the point whose stabilizer is to be computed
The stabilizer of a point α under a permutation group G is the set of elements of G that fix α. It is a subgroup of G. That is, an element g in G belongs to the stabilizer of α if αg=α.
The Stabilizer( alpha, G ) command computes the stabilizer of the point alpha under the action of the permutation group G.
The Stabiliser command is provided as an alias.
S≔ < a permutation group on 13 letters with 8 generators >
The GroupTheory[Stabilizer] command was introduced in Maple 17.
For more information on Maple 17 changes, see Updates in Maple 17.
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