Proof that (R, +) is not a Cyclic Group

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Proof that (R, +) is not a Cyclic Group.
We prove that the set of real numbers under the operation of addition does not form a cyclic group. This is really an easy observation but in this video we go through the details.

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I've seen a proof that Q is not finitely generated before (which, I guess already depends on knowing that Q is not cyclic, because proving that any finitely generated subgroup of Q is actually a cyclic subgroup of Q is the crux of it) - so I just figured that since (Q, +) is infinitely generated already and (Q, +) is a subgroup of (R, +) then R cannot be cyclic either.

paulhammond

Can you solve (Q, +)is not cyclic ?please

smoosami

What are generators of Q under addition.

Naresh

What if n belonged to R, the set of all real numbers? Then couldn't you add or subtract, like "x + (1/2)x = (3/2)x"?

zomnomnom

Can any one show.. y the Pair of groups (R*, •)& (C*, •)is not isomorphic..?

justfocusonurdreams

(Q*, • ) is not cyclic how to prove it

shaikhbilal

Proof that (R, +) is not a Cyclic Group

Proof that (R, +) is not a Cyclic Group

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