#madeeasy

Question

A group G having O(G)= 200 is known to be cyclic with g being one of its generator.It is given that O(g^x)=100 for some x€Z. Then value of x is?

Comments

$g^{200} = e.$

$(g^{2})^{100} = e.$

So, x = 2.

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I didn't get the first statement??

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kumar.dilip   O(G)=200 is actually O(g) i.e order of element not of group??? correct??