所有有限生成的3-流形群都是Grothendieck刚体

IF 0.6 3区数学 Q3 MATHEMATICS

Groups Geometry and Dynamics Pub Date : 2021-02-28 DOI:10.4171/ggd/701

Hongbin Sun

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引用次数: 2

摘要

本文证明了所有有限生成的3流形群都是Grothendieck刚性的。更确切地说，对于任意有限生成的3流形群G和任意有限生成的真子群H + G，我们证明了包含诱导同态π: p H Ñ p G在无限补全上不是同态的。

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All finitely generated 3-manifold groups are Grothendieck rigid

In this paper, we prove that all finitely generated 3-manifold groups are Grothendieck rigid. More precisely, for any finitely generated 3manifold group G and any finitely generated proper subgroup H ă G, we prove that the inclusion induced homomorphism pi : p H Ñ p G on profinite completions is not an isomorphism.

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来源期刊

Groups Geometry and Dynamics 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Groups, Geometry, and Dynamics is devoted to publication of research articles that focus on groups or group actions as well as articles in other areas of mathematics in which groups or group actions are used as a main tool. The journal covers all topics of modern group theory with preference given to geometric, asymptotic and combinatorial group theory, dynamics of group actions, probabilistic and analytical methods, interaction with ergodic theory and operator algebras, and other related fields. Topics covered include: geometric group theory; asymptotic group theory; combinatorial group theory; probabilities on groups; computational aspects and complexity; harmonic and functional analysis on groups, free probability; ergodic theory of group actions; cohomology of groups and exotic cohomologies; groups and low-dimensional topology; group actions on trees, buildings, rooted trees.