> < ^ Date: Wed, 24 Mar 1993 16:49:33 +0100
^ From: Ronald Biggers <rbiggers@kscsuna1.kennesaw.edu >
> ^ Subject: Permutation Representations of Wreath Products

Dear Gap Forum,
I am presently using the DOS version of GAP 3.1. What must I do to
correct the following error(s)?

gap> z2 := Group( (1,2) );;
gap> z2.name := "z2";;
gap> g4 := Group( (1,3)(2,4), (1,2)(3,4) );;
gap> g4.name := "g4";;
gap> i4 := IdentityMapping( g4 );;
gap> g8 := WreathProduct(z2, g4, i4);;
gap> gt1 := Subgroup( g8, [
> WreathProductElement( (1,2), (), (), (), (), () ),
> WreathProductElement( (), (1,2), (), (), (), () ),
> WreathProductElement( (), (), (1,2), (), (), () ) ] );;
gap> gt1.name := "gt1";;
gap> x1 := Set( RightCosets( g8, gt1 ) );;
gap> Operation( g8, x1, OnRightCosets );
Error, for: <list> must evaluate to a list at
for <var> in set ... in
opr( D[i], gen ) called from
arg[1].operations.Operation( arg[1], arg[2], arg[3] ) called from
Operation( g8, x1, OnRightCosets ) called from
main loop
brk>
     .
     .
     .
gap> Permutation( WreathProductElement( (1,2), (), (), (), (1,3)(2,4),
> (1,3)(2,4) ), x1, OnRightCosets );
Error, for: <list> must evaluate to a list at
for <var> in set ... in
opr( D[i], g ) called from
D.operation.Permutation( arg[1], arg[2], arg[3] ) called from
Permutation( WreathProductElement( (1,2), (), (), (), (1,3)(2,3), (1,3)(2,
4) ), x1, OnRightCosets ) called from
main loop
brk>

Ron Biggers

Ronald C. Biggers
Associate Professor of Mathematics
Kennesaw State College
P.O. Box 444
Marietta, GA  30061
(404)423-6505 or 6327
Fax (404) 423-6629

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