Virtually free pro-p products
Thomas Weigel, Pavel Zalesskii

TL;DR
The paper proves that finitely generated virtually free pro-p groups can be decomposed into free pro-p products with amalgamation or pro-p HNN-extensions over finite p-groups, generalizing earlier results.
Contribution
It extends the structure theory of finitely generated virtually free pro-p groups by showing their decomposition as fundamental groups of finite graphs of finitely generated pro-p groups.
Findings
G is a free pro-p product with amalgamation or HNN-extension over finite p-groups
G is the pro-p fundamental group of a finite graph of finitely generated pro-p groups
Generalizes previous structural results by Herfort and the second author
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]).
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
