Reputation: 391
I'm trying to calculate all unique subgroups of the multiplicative group Z*_7. You can find everything on groups here https://en.wikipedia.org/wiki/Multiplicative_group .
I've tried a lot already. Sets don't really help since they are only removing all duplicated lists but keep one item of the initially not unique lists. I've read quite a few posts here on stackoverflow but none of them really help.
So all possible subgroups of 7 are:
[[1], [1, 5, 7, 11, 13, 17], [1, 7, 13], [1, 5, 7, 11, 13, 17], [1, 7, 13], [1, 17]]
My desired result however should look like this:
[[1], [1, 17]]
Since [1, 7, 13] and [1, 5, 7, 11, 13, 17] are not unique lists in this subgroup I want to have them removed entirely.
Upvotes: 0
Views: 117
Reputation: 4482
Well you can achieve it with the following:
data = [[1], [1, 5, 7, 11, 13, 17], [1, 7, 13], [1, 5, 7, 11, 13, 17], [1, 7, 13], [1, 17]]
print([x for x in data if data.count(x) ==1])
Output:
[[1], [1, 17]]
Upvotes: 2