Geodesic
On the boundedness of the Iwasawa invariant
Izvestiya. Mathematics , Tome 16 (1981) no. 1, pp. 1-19

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It is proved that the Iwasawa invariant $\mu$ for any algebraic number field is bounded on the space of $\Gamma$-extensions for each prime $l$. Bibliography: 7 titles. 
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V. A. Babaitsev. On the boundedness of the Iwasawa invariant. Izvestiya. Mathematics , Tome 16 (1981) no. 1, pp. 1-19. http://geodesic.mathdoc.fr/item/IM2_1981_16_1_a0/