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Integral Hopf–Galois Structures on Degree p2 Extensions of p-adic Fields

✍ Scribed by Nigel P. Byott


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
238 KB
Volume
248
Category
Article
ISSN
0021-8693

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On the Invariant Factors of Kummer Order
✍ Yoshimasa Miyata 📂 Article 📅 1997 🏛 Elsevier Science 🌐 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