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arxiv: 1305.4887 · v3 · pith:7YSZ447Vnew · submitted 2013-05-21 · 🧮 math.GR

Virtually free pro-p products

classification 🧮 math.GR
keywords pro-pfinitefreefinitelygeneratedgroupgroupsproduct
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It is shown that a finitely generated pro-p group G which is a virtually free pro-p product splits either as a free pro-p product with amalgamation or as a pro-p HNN-extension over a finite p-group. More precisely, G is the pro-p fundamental group of a finite graph of finitely generated pro-p groups with finite edge groups. This generalizes previous results of W. Herfort and the second author (cf. [2]).

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