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GroupTheory

  

Intersection

  

compute the intersection of two subgroups of a group

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

Intersection( A, B, ... )

A intersect B

Parameters

A

-

a permutation group

B

-

a permutation group

Description

• 

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.

Examples

withGroupTheory:

AGroupPerm1,13,7,24,2,17,4,19,3,5,9,23,8,15,10,22,6,14,11,21,12,18,16,20

A1,13,7,24,2,17,4,193,5,9,23,8,15,10,226,14,11,21,12,18,16,20

(1)

BGroupPerm1,14,7,21,2,18,4,20,3,6,9,11,8,12,10,16,5,13,23,24,15,17,22,19

B1,14,7,21,2,18,4,203,6,9,11,8,12,10,165,13,23,24,15,17,22,19

(2)

GroupOrderA,GroupOrderB

8,8

(3)

HAintersectB

H1,13,7,24,2,17,4,193,5,9,23,8,15,10,226,14,11,21,12,18,16,201,14,7,21,2,18,4,203,6,9,11,8,12,10,165,13,23,24,15,17,22,19

(4)

GroupOrderH

4

(5)

IntersectionH

1,7,2,43,9,8,105,23,15,226,11,12,1613,24,17,1914,21,18,20

(6)

AGroupPerm2,4,3,5,Perm2,4,6

A2,43,5,2,4,6

(7)

BGroupPerm1,3,2,6,Perm2,6,4

B1,32,6,2,6,4

(8)

CGroupPerm1,3,2,4,Perm2,6,4

C1,32,4,2,6,4

(9)

JIntersectionA,B,C

J2,4,61,32,4,2,6,4

(10)

GroupOrderJ

3

(11)

Compatibility

• 

The GroupTheory[Intersection] command was introduced in Maple 17.

• 

For more information on Maple 17 changes, see Updates in Maple 17.

See Also

GroupTheory

GroupTheory[PermutationGroup]