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On the weak Leopoldt conjecture and Iwasawa $$\mu$$-invariants. (English) Zbl 07118310
Summary: Let $$k_\infty/k$$ be a $$\mathbb Z_p$$-extension of a number field $$k$$. We show that $$\mu$$-invariants of Iwasawa modules naturally attached to $$k_\infty/k$$ are closely related to the weak Leopoldt conjecture and the primes of $$k$$ which split completely in $$k_\infty$$.
##### MSC:
 11R23 Iwasawa theory 11R34 Galois cohomology
##### Keywords:
weak Leopoldt conjecture; Iwasawa $$\micro$$-invariant
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##### References:
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