Geodesic
Kummer's and Iwasawa's Version of Leopoldt's Conjecture
Canadian mathematical bulletin, Tome 31 (1988) no. 3, pp. 338-346

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DOI

We present a refinement of Iwasawa's approach to Leopoldt's conjecture on the non-vanishing of the p-adic regulator of an algebraic number field K. As an application, the conjecture for K implies the conjecture for a solvable extension L of degree g over K if g is relatively prime to p — 1 and p does not divide g, the discriminant of K, and the quotient of class numbers where is a primitive pth root of unity. This can be viewed as generalizing a theorem of Kummer on cyclotomic units.
DOI : 10.4153/CMB-1988-049-0
Mots-clés : 11R27 
Sands, Jonathan W. Kummer's and Iwasawa's Version of Leopoldt's Conjecture. Canadian mathematical bulletin, Tome 31 (1988) no. 3, pp. 338-346. doi: 10.4153/CMB-1988-049-0
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     author = {Sands, Jonathan W.},
     title = {Kummer's and {Iwasawa's} {Version} of {Leopoldt's} {Conjecture}},
     journal = {Canadian mathematical bulletin},
     pages = {338--346},
     year = {1988},
     volume = {31},
     number = {3},
     doi = {10.4153/CMB-1988-049-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1988-049-0/}
}
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