Dear GAP- Forum,
On Jan 12, 2006, at 11:24 , Laurent Bartholdi wrote:
it seems to me that there's a problem with wreath products:
GAP4, Version: 4.4.5 of 13-May-05, i686-pc-linux-gnu-gcc
gap> G := WreathProduct(CyclicGroup(3),Group((1,2,3),(4,5,6)));
<group of size 6561 with 3 generators>
gap> Gc := Image(IsomorphismPcGroup(G));
Group([ f1, f2, f3, f4, f5 ])
gap> Size(Gc);
243
Thank you for reporting this bug. The problem arises if the group H
in G\wr H is not acting transitively. In this case GAP might miss
some generators for the base of the product.
This will be corrected in the next bugfix, please write me privately
if you want a workaround now.
Best wishes and many thanks!
Alexander Hulpke
-- Colorado State University, Department of Mathematics,
Weber Building, 1874 Campus Delivery, Fort Collins, CO 80523-1874, USA
email: [EMAIL PROTECTED], Phone: ++1-970-4914288
http://www.math.colostate.edu/~hulpke
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