Stable presentation length of 3-manifold groups
Stable presentation length of 3-manifold groups
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DOI：
10.2140/agt.2018.18.687
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发表时间：
2015-01
期刊：
影响因子：
--
通讯作者：
K. Yoshida
中科院分区：
文献类型：
--
作者：
K. Yoshida
引入有限呈现群的稳定呈现长度。3流形基群的稳定表示长度可以看作是简单体积的类比。我们证明了稳定表示长度具有简单体积的一些可加性，并且封闭3流形的简单体积由其基本群的稳定表示长度的常数倍从上到下限定。
We introduce the stable presentation length of a finitely presented 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 the stable presentation length have some additive properties like the simplicial volume, 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.