Geodesic
Infinitude of the number of relations in the Galois group of the maximal $p$-extension of a local field with restricted ramification
Izvestiya. Mathematics , Tome 18 (1982) no. 3, pp. 513-524

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This paper contains a proof of the theorem announced in RZh.Mat., 1977, A390. Bibliography: 7 titles. 
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     author = {N. L. Gordeev},
     title = {Infinitude of the number of relations in the {Galois} group of the maximal $p$-extension of a local field with restricted ramification},
     journal = {Izvestiya. Mathematics },
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N. L. Gordeev. Infinitude of the number of relations in the Galois group of the maximal $p$-extension of a local field with restricted ramification. Izvestiya. Mathematics , Tome 18 (1982) no. 3, pp. 513-524. http://geodesic.mathdoc.fr/item/IM2_1982_18_3_a4/