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See the theorem of Mann quoted by Jaikin in this questionthis question for a nice criterion guaranteeing topological finite generation in terms of the number of open subgroups of index N. See Pete Clark's answer to that question for pointers towards verifying that criterion for Gal(Q_p).

See the theorem of Mann quoted by Jaikin in this question for a nice criterion guaranteeing topological finite generation in terms of the number of open subgroups of index N. See Pete Clark's answer to that question for pointers towards verifying that criterion for Gal(Q_p).

See the theorem of Mann quoted by Jaikin in this question for a nice criterion guaranteeing topological finite generation in terms of the number of open subgroups of index N. See Pete Clark's answer to that question for pointers towards verifying that criterion for Gal(Q_p).

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See the theorem of Mann quoted by Jaikin in this question for a nice criterion guaranteeing topological finite generation in terms of the number of open subgroups of index N. See Pete Clark's answer to that question for pointers towards verifying that criterion for Gal(Q_p).