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Results tagged with reference-request
Search options answers only
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user 40821
This tag is used if a reference is needed in a paper or textbook on a specific result.
5
votes
Accepted
Abelianization of unit quaternions over a p-adic field
The answer is yes: it is a result of Riehm, Corollary to Theorem 21 in The norm 1 group of $\mathfrak{p}$-adic division algebras Amer. J. Math. 92 2 (1970), 499--523, see also Theorem 1.9 p.33 and the …
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5
votes
Rings of $S$-integers are finitely generated as rings
$\newcommand{\order}{\mathcal{O}} \newcommand{\Z}{\mathbb{Z}} $Here is a short proof, assuming that the class group is torsion (a result for which you should easily find a reference).
First, $\order …
- 5,382
4
votes
On a probabilistic integer factorization algorithm given bounds for one prime factor
If $D\le 3$, it is known how to do this in polynomial time by Coppersmith's algorithm [Cop96]: note that $q \approx N^{\frac{D}{D+1}}$ and therefore $B_2-B_1 \approx q^{\frac{D-1}{D}} \approx N^{\frac …
- 5,382
1
vote
Computing the relative class group (with Galois action) of relatively large cyclotomic groups
This might help, although I am not sure if it is exactly what you need:
Aoki, Miho and Fukuda, Takashi An algorithm for computing p-class groups of abelian number fields, Algorithmic number theory, 5 …
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