Remarks on normal bases

Details Remarks on normal bases Remarks on normal bases

1997-10-13

arxiv.org/abs/math/9710223v1

Mathematics

Number Theory

Scientific paper

We prove that any Galois extension of commutative rings with normal basis and
abelian Galois group of odd order has a self dual normal basis. Also we show
that if S/R is an unramified extension of number rings with Galois group of odd
order and $R$ is totally real then the normal basis does not exist for S/R.

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