[GAP Forum] wreath product with a sparse permutation group

Alexander Hulpke hulpke at math.colostate.edu
Wed Oct 10 17:17:32 BST 2007


Dear Forum,

On Sep 18, 2007, at 9/18/07 7:32, Anvita wrote:
> WreathProduct( G, P )
> constructs the wreath product of the group G with the permutation  
> group P (acting on its MovedPoints). Presumably, this means that  
> the resulting group should have size |G|^n * |P|, where n = Size 
> (MovedPoints(P)). However, this is not so in the case where P is a  
> "sparse" permutation group.

Indeed this is a bug and will be corrected in a future release. Thank  
you for reporting it!
We will also clarify the manual about how the case of a ``sparse'' P  
is to be interpreted.

Best regards,

     Alexander Hulpke



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