Louder, L;
Touikan, N;
(2017)
Strong accessibility for finitely presented groups.
Geometry & Topology
, 21
(3)
pp. 1805-1835.
10.2140/gt.2017.21.1805.
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Abstract
A hierarchy of a group is a rooted tree of groups obtained by iteratively passing to vertex groups of graphs of groups decompositions. We define a (relative) slender JSJ hierarchy for (almost) finitely presented groups and show that it is finite, provided the group in question doesn’t contain any slender subgroups with infinite dihedral quotients and satisfies an ascending chain condition on certain chains of subgroups of edge groups. As a corollary, slender JSJ hierarchies of hyperbolic groups which are (virtually) without 2–torsion and finitely presented subgroups of SLn(Z) are both finite.
| Type: | Article |
|---|---|
| Title: | Strong accessibility for finitely presented groups |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.2140/gt.2017.21.1805 |
| Publisher version: | http://dx.doi.org/10.2140/gt.2017.21.1805 |
| Language: | English |
| Additional information: | © Copyright 2017 Mathematical Sciences Publishers. All right reserved. This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1403432 |
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