If the groups are small enough (less than size 2001 and not orders 512,
1024 or 1536), you can run:
Filtered(M, x-> IdGroup(x)=IdGroup(g));
Joe
Levie Bicua wrote:
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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