most citedPro-p groups with constant generating number on open subgroups

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math.GR2012★ 1 cited

Subgroup properties of pro-p extensions of centralizers

Ilir Snopce, Pavel Zalesskii

We prove that a finitely generated pro- group acting on a pro- tree with procyclic edge stabilizers is the fundamental pro- group of a finite graph of pro- groups w…

math.GR2010★ 1 cited

Pro-p groups with constant generating number on open subgroups

B. Klopsch, I. Snopce

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 generat…