The Farrell-Jones conjecture for some nearly crystallographic groups

被引：1

作者：

Farrell, F. Thomas ^{[1
]}

Wu, Xiaolei ^{[2
]}

机构：

[1] SUNY Binghamton, Dept Math Sci, Binghamton, NY 13902 USA

[2] Free Univ Berlin, Inst Math, D-14195 Berlin, Germany

来源：

ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2015年 / 15卷 / 03期

关键词：

D O I：

10.2140/agt.2015.15.1667

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove the K-theoretical and L-theoretical Farrell-Jones conjecture with coefficients in an additive category for nearly crystallographic groups of the form Q(n) Z, where Z acts on Qn as an irreducible integer matrix with determinant d, vertical bar d vertical bar > 1

引用

页码：1667 / 1690

页数：24

共 50 条

[1] The Farrell-Jones conjecture for virtually solvable groups
Wegner, Christian
[J]. JOURNAL OF TOPOLOGY, 2015, 8 (04) : 975 - 1016
[2] The Farrell-Jones Conjecture for mapping class groups
Bartels, Arthur
Bestvina, Mladen
[J]. INVENTIONES MATHEMATICAE, 2019, 215 (02) : 651 - 712
[3] The Farrell-Jones conjecture for fundamental groups of graphs of abelian groups
Gandini, Giovanni
Meinert, Sebastian
Rueping, Henrik
[J]. GROUPS GEOMETRY AND DYNAMICS, 2015, 9 (03) : 783 - 792
[4] The Farrell-Jones conjecture for S-arithmetic groups
Rueping, H.
[J]. JOURNAL OF TOPOLOGY, 2016, 9 (01) : 51 - 90
[5] The Farrell-Jones Conjecture for Hyperbolic-by-Cyclic Groups
Bestvina, Mladen
Fujiwara, Koji
Wigglesworth, Derrick
[J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2023, 2023 (07) : 5887 - 5904
[6] Coefficients for the Farrell-Jones Conjecture
Bartels, Arthur
Reich, Holger
[J]. ADVANCES IN MATHEMATICS, 2007, 209 (01) : 337 - 362
[7] The Farrell-Jones conjecture for graph products
Gandini, Giovanni
Rueping, Henrik
[J]. ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2013, 13 (06): : 3651 - 3660
[8] The A-theoretic Farrell-Jones conjecture for virtually solvable groups
Kasprowski, Daniel
Ullmann, Mark
Wegner, Christian
Winges, Christoph
[J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2018, 50 (02) : 219 - 228
[9] The Farrell-Jones isomorphism conjecture for 3-manifold groups
Roushon, S. K.
[J]. JOURNAL OF K-THEORY, 2008, 1 (01) : 49 - 82
[10] The K-theoretic Farrell-Jones conjecture for hyperbolic groups
Bartels, Arthur
Lueck, Wolfgang
Reich, Holger
[J]. INVENTIONES MATHEMATICAE, 2008, 172 (01) : 29 - 70

← 1 2 3 4 5 →