compute the commutant of a magma - Maple Help

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Magma[Commutant] - compute the commutant of a magma

Calling Sequence

Commutant( m )

Parameters

m

-

Array representing the Cayley table of a finite magma

Description

• 

The commutant of a magma is the set of its members that commute with every member of the magma.

• 

The Commutant command returns the commutant of the magma m as a set.

Examples

withMagma:

m:=1|2|3,2|3|1,3|1|2

m:=123231312

(1)

Commutantm

1,2,3

(2)

m:=1|1|1|1|1,1|1|1|1|1,1|1|1|1|1,1|1|1|2|4,1|2|2|4|5

m:=1111111111111111112412245

(3)

Commutantm

1,4

(4)

m:=1|1|1|1|1,1|1|1|1|1,1|1|1|1|1,1|1|1|2|4,1|2|1|4|5

m:=1111111111111111112412145

(5)

Commutantm

1,3,4

(6)

See Also

Center, Magma


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