Splitting quaternion algebras defined over a finite field extension
نویسندگان
چکیده
منابع مشابه
Splitting quaternion algebras over quadratic number fields
We propose an algorithm for finding zero divisors in quaternion algebras over quadratic number fields, or equivalently, solving homogeneous quadratic equations in three variables over Q( √ d) where d is a square-free integer. The algorithm is deterministic and runs in polynomial time if one is allowed to call oracles for factoring integers and polynomials over finite fields.
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The asymptotics of the order of a random permutation have been widely studied. P. Erdös and P. Turán proved that asymptotically the distribution of the logarithm of the order of an element in the symmetric group Sn is normal with mean 12(log n) 2 and variance 13(log n) 3. More recently R. Stong has shown that the mean of the order is asymptotically exp(C √ n/ log n + O( √ n log log n/ log n)) w...
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ژورنال
عنوان ژورنال: Journal of Algebra and Its Applications
سال: 2020
ISSN: 0219-4988,1793-6829
DOI: 10.1142/s021949882250061x