Virtually free pro-p groups
Herfort, Wolfgang1 ; Zalesskii, Pavel2
1 University of Technology at Vienna Vienna Austria
2 Department of Mathematics, University of Brasilia Brasilia, DF Brazil
Publications Mathématiques de l'IHÉS, Tome 118 (2013), pp. 193-211.

We prove that in the category of pro-p groups any finitely generated group G with a free open subgroup splits either as an amalgamated free product or as an HNN-extension over a finite p-group. From this result we deduce that such a pro-p group is the pro-p completion of a fundamental group of a finite graph of finite p-groups.

DOI : 10.1007/s10240-013-0051-4
Herfort, Wolfgang 1 ; Zalesskii, Pavel 2

1 University of Technology at Vienna Vienna Austria
2 Department of Mathematics, University of Brasilia Brasilia, DF Brazil 
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Herfort, Wolfgang; Zalesskii, Pavel. Virtually free pro-p groups. Publications Mathématiques de l'IHÉS, Tome 118 (2013), pp. 193-211. doi : 10.1007/s10240-013-0051-4. http://www.numdam.org/articles/10.1007/s10240-013-0051-4/

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