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- W1970996739 abstract "If K/F is a finite abelian Galois extension of global fields whose Galois group has exponent t, we prove that there exists a short exact sequence that has as a consequence that if t is square free, then Dec(K/F)=Br_{t}(K/F) which we use to show that prime exponent division algebras over Henselian valued fields with global residue fields are isomorphic to a tensor product of cyclic algebras. Finally, we construct a counterexample to the result for higher exponent division algebras." @default.
- W1970996739 created "2016-06-24" @default.
- W1970996739 creator A5051011861 @default.
- W1970996739 date "2008-12-12" @default.
- W1970996739 modified "2023-09-27" @default.
- W1970996739 title "On the Dec group of finite abelian Galois extensions over global fields" @default.
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