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On the factorization of polynomials and direct sum properties in integer polyomial rings

✍ Scribed by Hari Krishna Garg


Book ID
112494156
Publisher
Springer
Year
1996
Tongue
English
Weight
841 KB
Volume
15
Category
Article
ISSN
0278-081X

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On the Invariant Factors of Kummer Order
✍ Yoshimasa Miyata πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 356 KB

Let KΓ‚k 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