Using the Artin map, we might induce homomorphisms from the principal orders in each of these fields...
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[...]
- Hey, don't flatter yourself.
- Yes!
- Shh!
- Over the rationals and, hence, contained in a single cyclotomic field.
- Shh!
- These maps could then be used to combine splitting information from all the fields.
- This isn't just about large number theory. It's about cryptography.
- Shh!
[...]