gap> g:=Group((1,2,3,4),(1,2)(3,4));
Group([ (1,2,3,4), (1,2)(3,4) ])
gap> u:=Subgroup(g,[(1,2)(3,4)]);
Group([ (1,2)(3,4) ])
gap> rt:=RightTransversal(g,u);
RightTransversal(Group([ (1,2,3,4), (1,2)(3,4) ]),Group([ (1,2)(3,4) ]))
gap> List(rt);
[ (), (2,4), (1,2,3,4), (1,3)(2,4) ]
In above program rt is not actualy a right transversal
for (1,2,3,4) and (2,4) are in same right coset.
Vivek Kumar Jain
Dept. of Mathematics
Univ. of Allahabad
Allahabad-211002
India
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