منابع مشابه
On the computation of all extensions of a p-adic field of a given degree
Let k be a p-adic field. It is well-known that k has only finitely many extensions of a given finite degree. In [Kr66], Krasner 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 all extensions K/k of a given degree and discriminant.
متن کاملON THE COMPUTATION OF ALL EXTENSIONS OF A p-ADIC FIELD
Let k be a p-adic eld. It is well-known that k has only nitely many extension of a given nite degree. In Kr66], Krasner 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 all extensions K=k of a given degree and discriminant.
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We calculate extensions between certain irreducible admissible representations of p-adic groups. To Hiroshi Saito, in memoriam
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We investigate the graph theoretical aspects and combinatorics of the action of a unitary group in n variables over a local non-archimedian eld on the Bruhat-Tits building of an odd orthogonal group in 2n+ 1 variables.
متن کاملON p-ADIC NORMS AND QUADRATIC EXTENSIONS, II
We investigate the graph theoretical aspects and combinatorics of the action of a unitary group in n variables over a local non-archimedian eld on the Bruhat-Tits building of an orthogonal group in 2n+ 1 variables.
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2017
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2016.10.006