Question

Show that complex number is an abelian group with respect to addition

Answer 1

Answer:

Hi

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Answer 2

Answer:

The complex numbers are a vector space over the rational numbers. No element of a rational vector space can have finite order, except for the 0 vector, for if nv = 0, then 1/n n v = 0, so v = 0.

The complex numbers are a vector space over the rational numbers. No element of a rational vector space can have finite order, except for the 0 vector, for if nv = 0, then 1/n n v = 0, so v = 0.So the only possible finite subgroup of a rational vector space is 0 itself, which is trivial.

Step-by-step explanation:

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