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Leopoldt's conjecture for imaginary Galois number fields

โœ Scribed by Norbert Klingen

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
744 KB
Volume
10
Category
Article
ISSN
0747-7171

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โœฆ Synopsis

In studying Leopoldt's conjecture for Galois number fields a sufficient condition is proposed which includes the known criteria and moreover refers only to the character table of the Galois group in question. Hence it may easily be checked. Tables of the computations are given. New examples, if only few, of imaginary number fields are exhibited for which Leopoldt's conjecture is proved to be true for all primes p. Some of them are covered by some kind of "Verschiebungssatz" for Leopoldt's conjecture.

๐Ÿ“œ SIMILAR VOLUMES

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In this paper, by using an analogue of theorems of Iwasawa (Kenkichi Iwasawa Collected Papers, vol. 2, Springer, Berlin, 2001, pp. 862-870) we give a sufficient condition for Leopoldt's conjecture (J. Reine Angew. Math. 209 (1962) 54) on the non-vanishing of the p-adic regulator of an algebraic numb

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