Cyclic splittings of finitely presented groups and the canonical JSJ decomposition

E. Rips; Z. Sela

doi:10.2307/2951832

Cyclic splittings of finitely presented groups and the canonical JSJ decomposition

E. Rips, Z. Sela

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

96 Scopus citations

Abstract

We borrow the Jaco-Shalen-Johannson notion of characteristic submanifolds from 3-dimensional topology to study cyclic splittings of finitely presented groups. The canonical JSJ decomposition we construct generalizes the one introduced in [Se1] for (Gromov) hyperbolic groups.

Original language	English
Pages (from-to)	53-109
Number of pages	57
Journal	Annals of Mathematics
Volume	146
Issue number	1
DOIs	https://doi.org/10.2307/2951832
State	Published - Jul 1997

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abstract = "We borrow the Jaco-Shalen-Johannson notion of characteristic submanifolds from 3-dimensional topology to study cyclic splittings of finitely presented groups. The canonical JSJ decomposition we construct generalizes the one introduced in [Se1] for (Gromov) hyperbolic groups.",

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Cyclic splittings of finitely presented groups and the canonical JSJ decomposition

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