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Authors
Affiliations
1 Department of Mathematics and Statistics
University of Hyderabad, Gachibowli,
Hyderabad - 500 046, IN
Source
The Journal of the Indian Mathematical Society, Vol 81, No 3-4 (2014), Pagination: 283-293
Abstract
Let k be a field and ℓ a prime not equal to the characteristic of k. Assume that k contains a primitive ℓth ischolar_main of unity. Given a central simple algebra D over k(T) with ramification index at most 3, we show that there exist a centrals simple algebra D0 over k and f, g ∈ k(T)* such that D is Brauer equivalent to the tensor product of D0 and the cyclic algebra (f, g)ℓ over k(T). We also give necessary and sufficient conditions for the algebra D0⊗ (f, g)ℓ to be division for some class of polynomials f and g.
Keywords
Central Simple Algebras, Ramification Index, Rational Function Field.
References
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