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])
Weigel, T., Zalesskii, P. (2017). Virtually free pro-p products. ISRAEL JOURNAL OF MATHEMATICS, 221(1), 425-434 [10.1007/s11856-017-1548-1].
Virtually free pro-p products
Weigel T.
Membro del Collaboration Group
;
2017
Abstract
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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