partition a list of magmas into isomorphism classes - Maple Help

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Magma[IsomorphismClasses] - partition a list of magmas into isomorphism classes

Calling Sequence

IsomorphismClasses( L )

Parameters

L

-

list; list of magmas to partition into isomorphism classes

Description

• 

The IsomorphismClasses( L ) command partitions a list L of magmas into isomorphism classes.  The result is a list of lists, where each component list consists of pairwise isomorphic magmas, and such that no magma in one list is isomorphic to any magma in another (distinct) list.

• 

Note that if, in the input list L, the magmas are already pairwise isomorphic, then the result will be a list of one-element lists.

Examples

withMagma:

L:=seqRandomMagma2,i=1..20:

C:=IsomorphismClassesL

C:=2111,2221,2221,2111,1211,1211,1212,1212,2222,1111,1111,2121,2112,2112,1222,1222,1222,1112,1121,1122

(1)

mapnops,C

4,2,2,3,1,2,4,1,1

(2)

See Also

Magma, Magma/AreIsomorphic


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