On the Invariant Factors of Kummer Order
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Yoshimasa Miyata
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Article
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1997
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Elsevier Science
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English
⚖ 356 KB
Let KÂk be an extension of degree p 2 over a p-adic number field k with the Galois group G. We study the Galois module structure of the ring O K of integers in K. We determine conditions under which the invariant factors of Kummer orders O K t in O K of two extensions coincide with each other and gi