Question

every subgroup of abelian group is abelian​

Answer 1

Answer:

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In particular, the real numbers are an abelian group under addition, and the nonzero real numbers are an abelian group under multiplication. Every subgroup of an abelian group is normal, so each subgroup gives rise to a quotient group. Subgroups, quotients, and direct sums of abelian groups are again abelian.

Answer 2

Step-by-step explanation:

Every subgroup of an abelian group is normal, so each subgroup gives rise to a quotient group. Subgroups, quotients, and direct sums of abelian groups are again abelian. The finite simple abelian groups are exactly the cyclic groups of prime order

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