Geodesic
On local tameness of certain graphs of groups
Gitik, Rita1
1 Department of Mathematics, University of Michigan, Ann Arbor, MI, United States
Algebraic and Geometric Topology, Tome 19 (2019) no. 7, pp. 3701-3710

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

Let G be the fundamental group of a finite graph of groups with Noetherian edge groups and locally tame vertex groups. We prove that G is locally tame. It follows that if a finitely presented group H has a nontrivial JSJ–decomposition over the class of its VPC(k) subgroups for k = 1 or k = 2, and all the vertex groups in the decomposition are flexible, then H is locally tame.

DOI : 10.2140/agt.2019.19.3701
Classification : 20F65, 20E06, 20F34, 57M07, 57M10
Keywords: Noetherian group, locally tame group, graph of groups, \JSJ–decomposition, covering space, fundamental group

Gitik, Rita 1

1 Department of Mathematics, University of Michigan, Ann Arbor, MI, United States 
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Gitik, Rita. On local tameness of certain graphs of groups. Algebraic and Geometric Topology, Tome 19 (2019) no. 7, pp. 3701-3710. doi: 10.2140/agt.2019.19.3701

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