real abelian number field
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2009 ◽  
Vol 148 (1) ◽  
pp. 93-106
Author(s):  
FILIPPO ALBERTO EDOARDO NUCCIO

AbstractFor a real abelian number field F and for a prime p we study the relation between the p-parts of the class groups and of the quotients of global units modulo cyclotomic units along the cyclotomic p-extension of F. Assuming Greenberg's conjecture about the vanishing of the λ-invariant of the extension, a map between these groups has been constructed by several authors, and shown to be an isomorphism if p does not split in F. We focus in the split case, showing that there are, in general, non-trivial kernels and cokernels.



1985 ◽  
Vol 46 (1) ◽  
pp. 57-72
Author(s):  
Kenneth Williams ◽  
Kenneth Hardy


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