@article{oai:ynu.repo.nii.ac.jp:00007017, author = {Ichimura, Humio}, issue = {1}, journal = {Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学}, month = {}, note = {application/pdf, Let $p$ be an odd prime number, $F$ a number field, and $K=F(¥zeta_{p})$ . We say that $F_{8}atisfie8$ the condition $(A_{p})$ when any tame cyclic extension $N/F$ of degree $p$ has a normal integral basis (NIB for short), and that it satisfies $(B_{p})$ when for any $a¥in F^{X}$ , the cyclic extension $K(a^{1/p})/K$ has a NIB if it is tame. We prove that $F$ satisfies $(A_{p})$ only when it satisfies $(B_{p})$ under the assumption that the Stickelberger ideal associated to the Galois group $Ga1(K/F)$ is "trivial".}, pages = {75--81}, title = {NORMAL INTEGRAL BASES AND RAY CLASS GROUPS, II}, volume = {53}, year = {2006} }