On the module structure in a cyclic extension over a -adic number field
نویسندگان
چکیده
منابع مشابه
On the ring of p-integers of a cyclic p-extension over a number field
Let p be a prime number. A finite Galois extension N/F of a number field F with group G has a normal p-integral basis (p-NIB for short) when O′ N is free of rank one over the group ring O′ F [G]. Here, O′ F = OF [1/p] is the ring of p-integers of F . Let m = p be a power of p and N/F a cyclic extension of degree m. When ζm ∈ F×, we give a necessary and sufficient condition for N/F to have a p-N...
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ژورنال
عنوان ژورنال: Nagoya Mathematical Journal
سال: 1979
ISSN: 0027-7630,2152-6842
DOI: 10.1017/s0027763000018328