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Profinite detection of 3-manifold decompositions

Accepted version
Peer-reviewed

Type

Article

Change log

Authors

Wilton, HJR 
Zalesskii, Pavel 

Abstract

The profinite completion of the fundamental group of a closed, orientable 3-manifold determines the Kneser--Milnor decomposition. If M is irreducible, then the profinite completion determines the Jaco--Shalen--Johannson decomposition of M.

Description

Keywords

math.GR, math.GR, math.GT

Journal Title

Compositio Mathematica

Conference Name

Journal ISSN

0010-437X
1570-5846

Volume Title

155

Publisher

Cambridge University Press
Sponsorship
Engineering and Physical Sciences Research Council (EP/L026481/1)
Engineering and Physical Sciences Research Council (EP/K032208/1)
EPSRC: EP/K032208/1 and EP/L026481/1 CAPES