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GroupTheory

  

AlternatingGroup

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

AlternatingGroup( n )

Alt( n )

Parameters

n

-

a positive integer

Description

• 

The alternating group An on n elements is the set of all even permutations1,2,,n for a positive integer n. The order of An is equal to n!/2, for n > 1. The alternating group of degree n is simple if n is at least 5.

• 

The AlternatingGroup( n ) command returns an alternating permutation group of degree n.  You can also use Alt( n ) as an abbreviation of AlternatingGroup( n ).

Examples

withGroupTheory:

GAlternatingGroup7

G:=A7

(1)

GroupOrderG

2520

(2)

IsTransitiveG

true

(3)

Compatibility

• 

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

• 

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

See Also

GroupTheory[SymmetricGroup]

 


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