Geodesic
Stable presentation length of 3–manifold groups
Yoshida, Ken’ichi1
1 Department of Mathematics, Kyoto University, Kyoto, Japan
Algebraic and Geometric Topology, Tome 18 (2018) no. 2, pp. 687-722

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

We introduce the stable presentation length of a finitely presentable group. The stable presentation length of the fundamental group of a 3–manifold can be considered as an analogue of the simplicial volume. We show that, like the simplicial volume, the stable presentation length has some additive properties, and the simplicial volume of a closed 3–manifold is bounded from above and below by constant multiples of the stable presentation length of its fundamental group.

DOI : 10.2140/agt.2018.18.687
Classification : 57M05, 57M27, 57M10, 57M20
Keywords: presentations of groups, finite covers of 3-manifolds

Yoshida, Ken’ichi 1

1 Department of Mathematics, Kyoto University, Kyoto, Japan 
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Yoshida, Ken’ichi. Stable presentation length of 3–manifold groups. Algebraic and Geometric Topology, Tome 18 (2018) no. 2, pp. 687-722. doi: 10.2140/agt.2018.18.687

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