An isomorphism between the narrow ideal class group of squared ideals of a quadratic number field and the kernel of a homomorphism between cohomology groups for Pell conics

Details An isomorphism between the narrow ideal class group of squared ideals of a quadratic number field and the kernel of a homomorphism between cohomology groups for Pell conics An isomorphism between the narrow ideal class group of squared ideals of a quadratic number field and the kernel of a homomorphism between cohomology groups for Pell conics

2011-08-08

arxiv.org/abs/1108.1610v1

Mathematics

Number Theory

Scientific paper

Two proofs are provided that the narrow ideal class group of squared ideals
of a quadratic number field is isomorphic to the kernel of a homomorphism
between cohomology groups for Pell conics, Lemmermeyer's obstruction to descent
for Pell conics. These proofs make use of a particular subgroup of a Pell conic
over algebraic numbers.

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