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karush

Gold Member

MHB

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nmh{909}

For each group in the following list,

$$ \Bbb{Z}_{12}, \qquad U(10)\qquad U(12) \qquad D4 $$

(a) find the order of the group

$$|\Bbb{Z}_{12}|=12$$

(b) the order of each element in the group.ok the eq I think we are supposed to use is

$$\textit{ if } o(g)=n \textit{ then } o(g^n)= n/(n,k)$$

the alleged a answer for (a) is $\Bbb{Z}_{12}$

for (b)$o(0)=1, \quad $o(1)=12$ \quad $o(2)=6$\quad $o(3)=4$\quad $o(4)=3$,\quad $o(5)=12$

\quad $o(6)=2$\quad $o(7)=12$\quad $o(8)=3$\quad $o(9)=4$\quad $o(10)=6$\quad $o(11)=12$I am sure this is simple but don't see it

For each group in the following list,

$$ \Bbb{Z}_{12}, \qquad U(10)\qquad U(12) \qquad D4 $$

(a) find the order of the group

$$|\Bbb{Z}_{12}|=12$$

(b) the order of each element in the group.ok the eq I think we are supposed to use is

$$\textit{ if } o(g)=n \textit{ then } o(g^n)= n/(n,k)$$

the alleged a answer for (a) is $\Bbb{Z}_{12}$

for (b)$o(0)=1, \quad $o(1)=12$ \quad $o(2)=6$\quad $o(3)=4$\quad $o(4)=3$,\quad $o(5)=12$

\quad $o(6)=2$\quad $o(7)=12$\quad $o(8)=3$\quad $o(9)=4$\quad $o(10)=6$\quad $o(11)=12$I am sure this is simple but don't see it

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