On fake Z_p extensions of number fields

Details On fake Z_p extensions of number fields On fake Z_p extensions of number fields

2008-07-07

arxiv.org/abs/0807.1135v2

Mathematics

Number Theory

40 pages. Corrected several typos and the proof of the main theorem of Section 3

Scientific paper

After providing a general result for dihedral extensions, we study the growth
of the $p$-part of the class group of the non-normal subfields of the
anticyclotomic extension of an imaginary quadratic field, providing a formula
of Iwasawa type. Furthermore, we describe the structure of the projective limit
of these class groups.

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