1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

P-adic field

  1. Jan 25, 2009 #1

    If [tex]p \neq q[/tex] are two primes, then the p-adic fields [tex]\mathbb{Q}_p[/tex] and [tex]\mathbb{Q}_q[/tex] are non isomorphic, right?

    Actually I've read this in my book and I'm not sure, if that's obvious (which means its just me who doesn't recognize it) or a statement which has to be proven.

    The p-adic fields as I know them are defined as:
    Let [tex]\mathcal{C}_p[/tex] be the set of all rational Cauchy-Sequences, and [tex]\mathcal{N}_p[/tex] be the ideal of [tex]\mathcal{C}_p[/tex] of all sequences converging to zero. Then [tex]\mathbb{Q}_p := \mathcal{C}_p / \mathcal{N}_p[/tex]

  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you help with the solution or looking for help too?
Draft saved Draft deleted

Similar Discussions: P-adic field
  1. P-adic numbers (Replies: 5)