Efficient enumeration of extensions of local fields with bounded discriminant
Let k be a p -adic field. It is well-known that k has only finitely many extensions of a given finite degree. Krasner [1966] gives formulae for the number of extensions of a given degree and discriminant. Following his work, we present an algorithm for the computation of generating polynomials for a...
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Format: | Others |
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2001
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Online Access: | http://spectrum.library.concordia.ca/1533/1/NQ63983.pdf Pauli, Sebastian <http://spectrum.library.concordia.ca/view/creators/Pauli=3ASebastian=3A=3A.html> (2001) Efficient enumeration of extensions of local fields with bounded discriminant. PhD thesis, Concordia University. |