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Pro-p subgroups of profinite completions of 3-manifold groups

Accepted version
Peer-reviewed

Type

Article

Change log

Authors

Wilton, HJR 
Zalesskii, P 

Abstract

We completely describe the finitely generated pro-p subgroups of the profinite completion of the fundamental group of an arbitrary 3-manifold. We also prove a pro-p analogue of the main theorem of Bass–Serre theory for finitely generated pro-p groups.

Description

Keywords

math.GR, math.GR, math.GT

Journal Title

Journal of the London Mathematical Society

Conference Name

Journal ISSN

0024-6107
1469-7750

Volume Title

Publisher

Wiley
Sponsorship
Engineering and Physical Sciences Research Council (EP/L026481/1)
The first author was supported by EPSRC Standard Grant (number EP/L026481/1). The second author was supported by CAPES as part of the ‘Est´agio Senior’ programme.