Pro-p groups with constant generating number on open subgroups

Details Pro-p groups with constant generating number on open subgroups Pro-p groups with constant generating number on open subgroups

2010-06-07

arxiv.org/abs/1006.1208v2

Mathematics

Group Theory

11 pages, revised and corrected version

Scientific paper

Let p be a prime. We classify finitely generated pro-p groups G which satisfy
d(H) = d(G) for all open subgroups H of G. Here d(H) denotes the minimal number
of topological generators for the subgroup H. Within the category of p-adic
analytic pro-p groups, this answers a question of Iwasawa.

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