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Construction Of Self-Dual Integral Normal Bases In Abelian Extensions Of Finite And Local Fields

Erik Jarl Pickett

Let

F/E

be a finite Galois extension of fields with abelian Galois group

\Gamma

. A self-dual normal basis for

F/E

is a normal basis with the additional property that

Tr_{F/E}(g(x),h(x))=\delta_{g,h}

for

g,h\in\Gamma

. Bayer-Fluckiger and Lenstra h ...

2010

Algèbre de type fini

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Explicit construction of self-dual integral normal bases for the square-root of the inverse different

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A counter-example to a conjecture of Felix

Explicit construction of self-dual integral normal bases for the square-root of the inverse different

Construction Of Self-Dual Integral Normal Bases In Abelian Extensions Of Finite And Local Fields

Integration of plasmonic trapping in a microfluidic environment

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A counterexample to the local-global principle of linear dependence for Abelian varieties

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