EunoR
2021-01-08
Daphne Broadhurst
Skilled2021-01-09Added 109 answers
Let z be some complex number such that
Then
for
Define a
Then
which means that
so A is unitary.
Furthermore,
since A is a diagonal matrix.
Now assume that k is the smallest positive integer such that
Furthermore, it is easy to see that
Therefore, A is of order 6, so one subgroup of order
Result:
Hint:Define a
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