Geodesic
On subgroups of Demushkin groups
Matematičeskie zametki, Tome 4 (1968) no. 3, pp. 349-354 
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/
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     author = {I. V. Andozhskii},
     title = {On subgroups of {Demushkin} groups},
     journal = {Matemati\v{c}eskie zametki},
     pages = {349--354},
     year = {1968},
     volume = {4},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1968_4_3_a10/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

It can be shown immediately by group-theoretic methods that a subgroup of finite index of a Demushkin group is itself a Demushkin group.