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Common cyclic subfields of degree p division algebras over complete discrete valuation fields
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June 10, 2026 11:26
Common cyclic subfields of degree p division algebras over complete discrete valuation fields
Let $A,B$ be degree-$p$ division algebras over a complete discrete valuation field with $\ind(A\otimes B)<\ind(A)\cdot\ind(B)$. We study the existence of common cyclic maximal subfields of $A$ and $B$ in two …
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