3
$\begingroup$

In the past I have asked this question by giving the wrong hypothesis.So now I'll try to give the right information. I will be grateful for any help. I have to prove that the following map from $Z/pZ×H$ to $H$ defined as: $(n+pZ)(m/p^i+Z)↦(nm/p^i+Z)$ is well defined (is independent of the choice of representatives). Where $H=G^*[p]$ and $G^*$ is a direct sum of Prüfer groups, so elements in $H$ are elements of $G^*$ such that their order is $p$. thanks

  • 0
    Ah, now I understand what you mean. Thank you much for your help!2011-07-07

0 Answers 0