Created
April 15, 2019 18:32
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Ejemplo de calculo de los elementos de las clases de conjugación de un grupo.
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| ## Creamos el grupo: | |
| gap> s3:=SymmetricGroup(3); | |
| Sym( [ 1 .. 3 ] ) | |
| ## Tiene 3 clases de conjugaciones de elementos: | |
| gap> cc:=ConjugacyClasses(s3); | |
| [ ()^G, (1,2)^G, (1,2,3)^G ] | |
| gap> Length(cc); | |
| 3 | |
| ## Tomemos por ejemplo el segundo de ellos: | |
| gap> c:=cc[2]; | |
| (1,2)^G | |
| ## Vemos que contiene 3 elementos | |
| gap> Size(c); | |
| 3 | |
| ## Generamos una lista con todos los elementos de la clase escogida | |
| gap> AsList(c); | |
| [ (1,2), (2,3), (1,3) ] |
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