Geodesic
On subgroups of Demushkin groups
Matematičeskie zametki, Tome 4 (1968) no. 3, pp. 349-354.

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It can be shown immediately by group-theoretic methods that a subgroup of finite index of a Demushkin group is itself a Demushkin group. 
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     author = {I. V. Andozhskii},
     title = {On subgroups of {Demushkin} groups},
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I. V. Andozhskii. On subgroups of Demushkin groups. Matematičeskie zametki, Tome 4 (1968) no. 3, pp. 349-354. http://geodesic.mathdoc.fr/item/MZM_1968_4_3_a10/