compute the intersection of two subgroups of a group
Intersection( A, B, ... )
A intersect B
a permutation group
The Intersection( A, B, ... ) command computes the intersection of one or more permutation groups A, B, ...
You can also compute the intersection of two permutation groups A and B by using the intersect operator: A intersect B.
A ≔ Group⁡Perm⁡1,13,7,24,2,17,4,19,3,5,9,23,8,15,10,22,6,14,11,21,12,18,16,20
B ≔ Group⁡Perm⁡1,14,7,21,2,18,4,20,3,6,9,11,8,12,10,16,5,13,23,24,15,17,22,19
H ≔ A∩B
A ≔ Group⁡Perm⁡2,4,3,5,Perm⁡2,4,6
B ≔ Group⁡Perm⁡1,3,2,6,Perm⁡2,6,4
C ≔ Group⁡Perm⁡1,3,2,4,Perm⁡2,6,4
J ≔ Intersection⁡A,B,C
The GroupTheory[Intersection] command was introduced in Maple 17.
For more information on Maple 17 changes, see Updates in Maple 17.
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