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YCor
YCor
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What is $\mathrm{Hom}(\mathbb{Q},\mathbb{Z}(p^{\infty}))$?

I have a reference that says the group in question is $\mathbb{Q}_p,$ the additive group of the quotient field of the $p$-adic integers. Can anyone provide a reasonable derivation of this result?

I have a reference that says the group in question is $\mathbb{Q}_p,$ the additive group of the quotient field of the $p$-adic integers. Can anyone provide a reasonable derivation of this result?

What is $\mathrm{Hom}(\mathbb{Q},\mathbb{Z}(p^{\infty}))$?

I have a reference that says the group in question is $\mathbb{Q}_p,$ the additive group of the quotient field of the $p$-adic integers. Can anyone provide a reasonable derivation of this result?

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edit approved May 17, 2018 at 20:56
Ali Taghavi
edit approved May 17, 2018 at 20:56
Ali Taghavi
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Chris Leary
Chris Leary
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What is $\mathrm{Hom}(\mathbb{Q},\mathbb{Z}(p^{\infty}))$?

I have a reference that says the group in question is $\mathbb{Q}_p,$ the additive group of the quotient field of the $p$-adic integers. Can anyone provide a reasonable derivation of this result?