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Index-(p) abelianization data of (p)-class tower groups | Daniel C. Mayer
; | Date: |
11 Feb 2015 | Abstract: | Given a fixed prime number (p), the multiplet of abelian type invariants of
the (p)-class groups of all unramified cyclic degree (p) extensions of a
number field (K) is called its IPAD (index-(p) abelianization data). These
invariants have proved to be a valuable information for determining the Galois
group (G_p^2) of the second Hilbert (p)-class field and the
(p)-capitulation type (varkappa) of (K). For (p=3) and a number field
(K) with elementary (p)-class group of rank two, all possible IPADs are
given in the complete form of several infinite sequences. Iterated IPADs of
second order are used to identify the group (G_p^infty) of the maximal
unramified pro-(p) extension of (K). | Source: | arXiv, 1502.3388 | Services: | Forum | Review | PDF | Favorites |
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