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Magma

  

GetIsomorphism

  

return an isomorphism between isomorphic magmas

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

GetIsomorphism( m1, m2 )

Parameters

m1

-

Array; Cayley table of a magma

m2

-

Array; Cayley table of a magma

Description

• 

The GetIsomorphism( 'm1', 'm2' ) command returns an isomorphism, in the form of a permutation of 1..n, where m1 and m2 are of order n, which effects an isomorphism from m1 to m2.  In case m1 and m2 are not isomorphic, then the value false is returned.

Examples

withMagma:

m11|2|3,2|3|1,3|1|2

m1:=123231312

(1)

m22|3|1,3|1|2,1|2|3

m2:=231312123

(2)

GetIsomorphismm1,m2

3,1,2

(3)

m31|2|1,2|3|2,3|1|3

m3:=121232313

(4)

GetIsomorphismm1,m3

false

(5)

Compatibility

• 

The Magma[GetIsomorphism] command was introduced in Maple 15.

• 

For more information on Maple 15 changes, see Updates in Maple 15.

See Also

Magma

Magma/TransportStructure

 


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