[GAP Forum] determining the groups isomorphic to another group

Levie Bicua lee_bkua at yahoo.com
Fri Apr 24 00:12:10 BST 2009


Dear Forum,
 
Let 
M:=[Group([ (4,5), (2,3), (1,2)(4,5) ]), Group([ (4,5), (2,3), (1,3) ]),
Group([ (4,5), (2,5), (1,3) ]), Group([ (4,5), (2,5), (1,3)(4,5) ]), 
Group([ (4,5), (2,5), (1,3)(2,4) ]),Group([ (4,5), (2,5), (1,3)(2,5) ]),
Group((1,3,4,5),(1,6)(2,5))];
Suppose I want to know which of the elements of G are isomorphic to another group, say, 
g:=Group((1,2,3,4,5,6),(1,6)(2,5)(3,4));
I tried doing this but indirectly:
isom:=Filtered(M, x -> ForAll(x, z -> IsomorphismGroups(x,g)=fail));
"isom" returns a list of elements of G which are not isomorphic to g.. which means that
 remaining elements are the groups isomorphic to g. Is there a more direct way of getting 
a list of groups from G which are isomorphic to g? thanks.
 
Levi



      


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