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Magma

  

Rank

  

compute the (lexicographic) rank of a magma represented by its Cayley table

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

Rank( m )

Parameters

m

-

Array representing the Cayley table of a finite magma

Description

• 

The Rank command returns the lexicographic rank of the magma represented by the Cayley table m.

Examples

with( Magma ):

m := << 1, 2, 3 ; 2, 3, 1 ; 3, 1, 2 >>;

m123231312

(1)

Rank( m );

4070

(2)

m := << 1, 2, 3 ; 2, 3, 3 ; 3, 1, 2 >>;

m123233312

(3)

Rank( m );

4124

(4)

Compatibility

• 

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

• 

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

See Also

Magma

Unrank