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发帖数: 50 | 1 D4 has 2 Z2 X Z2, 1 Z4, 5 Z2, 1 D4, and 1 trivial
2 Z2 X Z2 correspond to Q(\sqrt(2)) and Q(I \sqrt(2))
1 Z4 corresponds to Q(I)
1 D4 corresponds to Q,1 trivial corresponds to K
5 Z2 correponds to Q(\sqrt(2), I),Q(a), Q(b), Q(a+b), Q(a-b)
where I^2=-1, a^2=\sqrt(2)+1(e.g. take the plus sqrt as a)
b^2=1-\sqrt(2)
check for yourself before take it as final answer,good luck |
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