ok ive managed to solve the other 2 questions.(adsbygoogle = window.adsbygoogle || []).push({});

here is my final one:

(1)

If G is a group and [itex] n \geq 1 [/itex], define G(n) = { x E G: ord(x) = n}

(2)

If [itex] G \cong H [/itex] show that, for all [itex] n \geq 1 [/itex], |G(n)| = |H(n)|.

(3)

Deduce that, [itex]C_3 X C_3[/itex] is not [itex]\cong C_9[/itex].

Is it true that [itex] C_3 X C_5 \cong C_15[/itex]

Is it true that [itex] C_2 X C_6 \cong C_12[/itex]

What is going on here?

any help to get me started is highly appreciated. ill attempt the questions as usual once i have some idea of what to do. thnx so much

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# Final Group Q.

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