Some questions on the class group of cyclotomic fields

Details Some questions on the class group of cyclotomic fields Some questions on the class group of cyclotomic fields

2007-03-04

arxiv.org/abs/math/0703112v3

Mathematics

Number Theory

The title is modified. The section 4 is removed because it contains an irrecoverable error: It is not possible to use epsilon_

Scientific paper

This article deals with a study of the structure of the class group of the
cyclotomic field $K=\Q(\zeta_p)$ for $p$ an odd prime number, starting from
Stickelberger relation. The present state of this work leads me to set a
question for all the prime numbers $h\not=p$ which divide the relative class
number $h^-(K)$.

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