On a Power Integral Bases Problem over Cyclotomic Zp-Extensions

On a Normal Integral Basis Problem over

On a Normal Integral Basis Problem over Cyclotomic Zp-extensions, II

✍ Humio Ichimura 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 283 KB

Let p be an odd prime number, K an imaginary abelian field with z p 2 K Â ; and K 1 =K the cyclotomic Z p -extension with its nth layer K n : In the previous paper, we showed that for any n and any unramified cyclic extension L=K n of degree p; LK nþ1 =K nþ1 does have a normal integral basis (NIB) e