Some questions on the class group of cyclotomic fields

2007/03/04 by Queme, Roland
#11R18 #11R23 #11R29 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.math/0703112

Abstract

This article deals with a study of the structure of the class group of the cyclotomic field K=\Q(ζ_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).

Related

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• A note on class number of certain real cyclotomic field
• The Hilbert's class field and the p-class group of the cyclotomic fields
• Primary rank of the class group of real cyclotomic fields
• Ideal class groups of cyclotomic number fields I