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Aug 20, 2013 at 21:39 comment added José Figueroa-O'Farrill As I said, this is a serious undertaking for the reasons you have mentioned. I cannot say whether it's "sensible" spending time on this. I suppose it would depend on what you plan to use this for.
Aug 20, 2013 at 15:53 comment added user38651 - sorry for the typos, I wish I could edit comments -
Aug 20, 2013 at 13:46 comment added user38651 The second problem I see is that the amount of members in the list would increase vastly! - I wouldn't say douplet, but rather exponentially- . And after that I in fact have to do something else with those ... Do you think it is sort of sensible investing time on this ?
Aug 20, 2013 at 13:43 comment added user38651 Ok, so I think I have understood the general ideas in your paper. Theoretically it should be extendable for three factors and the main difficulty would be in discriminating all possible compatible pairs $(A,B)\subset S^3 \times (S^3)^2$. The first problem is more concerning the subgroups of a fiber product - In fact I don't see how you identified this twisted fiber products, for instance of cyclic gropus with the product of cyclic groups, even less in the case of bynary polyhedral groups -
Aug 16, 2013 at 16:17 comment added José Figueroa-O'Farrill Sorry, but I'm not sure what you mean by table. It may be beneficial to read the introductory section "How to use this paper". There you will read that Tables 8, 9 and 10 contain the desired subgroups, written as twisted products, which is how they are described using Goursat lemma.
Aug 16, 2013 at 12:29 comment added user38651 Ok, thank's for the quick answer. I will try use the approach to classify all the subgroups SU(2)×SU(2)×SU(2).
Aug 15, 2013 at 20:19 history answered José Figueroa-O'Farrill CC BY-SA 3.0