EunoR
2021-01-08
Answered

Find a subgroup of order $6\in U\left(700\right)$ .

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Daphne Broadhurst

Answered 2021-01-09
Author has **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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