[GAP Forum] Elements in Wreath Products

aker at gursey.gov.tr aker at gursey.gov.tr
Mon Nov 16 15:17:24 GMT 2009


Hi,

I have two questions.

Question (1):
-------------

Gi := Dihedral(8);

n := 3;

S_n := SymmetricGroup( n );

G := WreathProduct( Gi, S_n );

x := One(G);

x![1] := 3;

This code runs...

When I look at back the identity of the wreath product G, then it is  
really not
the identity.

I don't know what ! means. Does this allow me to change an immutable  
object such
as One(G) ?



Question (2):
-------------

How can I create elements inside the wreath product ?

Thanks a lot,

Kursat

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