Twisted conjugacy in fundamental groups of geometric 3-manifolds

被引：4

作者：

Goncalves, Daciberg ^{[1
]}

Sankaran, Parameswaran ^{[2
]}

Wong, Peter ^{[3
]}

机构：

[1] Univ Sao Paulo, Dept Matemat, Inst Matemat & Estat, Rua Matao 1010, BR-05508090 Sao Paulo, SP, Brazil

[2] Chennai Math Inst, H1 SIPCOT IT Pk, Siruseri 603103, Kelambakkam, India

[3] Bates Coll, Dept Math, Lewiston, ME 04240 USA

来源：

TOPOLOGY AND ITS APPLICATIONS | 2021年 / 293卷

基金：

巴西圣保罗研究基金会;

关键词：

Twisted conjugacy; Geometric three-manifolds; Nielsen fixed point theory; NIELSEN NUMBERS; AUTOMORPHISMS; LATTICES; SELFMAPS;

D O I：

10.1016/j.topol.2020.107568

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A group G has the R-infinity-property if for every phi is an element of Aut(G), there are an infinite number of phi-twisted conjugacy classes of elements in G. In this note, we determine the R-infinity-property for G = pi(1)(M) for all geometric 3-manifolds M. (C) 2020 Elsevier B.V. All rights reserved.

引用

页数：11

共 50 条

[1] GEOMETRIC DECOMPOSITION OF SPATIAL KLEINIAN-GROUPS AND FUNDAMENTAL-GROUPS OF 3-MANIFOLDS
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[2] Hyperbolic 3-manifolds groups are subgroup conjugacy separable
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[4] SOLVABLE FUNDAMENTAL GROUPS OF COMPACT 3-MANIFOLDS
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NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 23 (05): : A557 - A557
[10] The conjugacy problem in groups of non-orientable 3-manifolds
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GROUPS GEOMETRY AND DYNAMICS, 2016, 10 (01) : 473 - 522

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