Volume 15, issue 5 (2015)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 23
Issue 6, 2415–2924
Issue 5, 1935–2414
Issue 4, 1463–1934
Issue 3, 963–1462
Issue 2, 509–962
Issue 1, 1–508

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Editorial Interests
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Author Index
To Appear
 
Other MSP Journals
On the transfer reducibility of certain Farrell–Hsiang groups

Christoph Winges

Algebraic & Geometric Topology 15 (2015) 2919–2946
Bibliography
1 A Bartels, On proofs of the Farrell–Jones conjecture, (2014) arXiv:1210.1044
2 A Bartels, F T Farrell, W Lück, The Farrell–Jones conjecture for cocompact lattices in virtually connected Lie groups, J. Amer. Math. Soc. 27 (2014) 339 MR3164984
3 A Bartels, W Lück, Induction theorems and isomorphism conjectures for $K$– and $L$–theory, Forum Math. 19 (2007) 379 MR2328114
4 A Bartels, W Lück, The Borel conjecture for hyperbolic and $\mathrm{CAT}(0)$–groups, Ann. of Math. 175 (2012) 631 MR2993750
5 A Bartels, W Lück, The Farrell–Hsiang method revisited, Math. Ann. 354 (2012) 209 MR2957625
6 A Bartels, W Lück, Geodesic flow for $\mathrm{CAT}(0)$–groups, Geom. Topol. 16 (2012) 1345 MR2967054
7 A Bartels, W Lück, H Reich, The $K$–theoretic Farrell–Jones conjecture for hyperbolic groups, Invent. Math. 172 (2008) 29 MR2385666
8 A Bartels, W Lück, H Reich, H Rüping, K– and L–theory of group rings over $GL_n(\mathbf{Z})$, Publ. Math. Inst. Hautes Études Sci. 119 (2014) 97 MR3210177
9 G Carlsson, E K Pedersen, Controlled algebra and the Novikov conjectures for $K$– and $L$–theory, Topology 34 (1995) 731 MR1341817
10 T tom Dieck, The Burnside ring of a compact Lie group, I, Math. Ann. 215 (1975) 235 MR0394711
11 F T Farrell, W C Hsiang, The topological-Euclidean space form problem, Invent. Math. 45 (1978) 181 MR0482771
12 F T Farrell, W C Hsiang, The Whitehead group of poly-(finite or cyclic) groups, J. London Math. Soc. 24 (1981) 308 MR631942
13 F T Farrell, W C Hsiang, Topological characterization of flat and almost flat Riemannian manifolds $M^{n}$ $(n\not=3, 4)$, Amer. J. Math. 105 (1983) 641 MR704219
14 F T Farrell, L E Jones, Isomorphism conjectures in algebraic $K$–theory, J. Amer. Math. Soc. 6 (1993) 249 MR1179537
15 H Kammeyer, W Lück, H Rüping, The Farrell–Jones conjecture for arbitrary lattices in virtually connected Lie groups, preprint (2015) arXiv:1401.0876
16 W Lück, H Reich, The Baum–Connes and the Farrell–Jones conjectures in $K$– and $L$–theory, from: "Handbook of $K$–theory, Vol. 1, 2", Springer (2005) 703
17 R J Miech, Primes, polynomials and almost primes, Acta Arith. 11 (1965) 35 MR0179139
18 B Oliver, Y Segev, Fixed point free actions on $\mathbf Z$–acyclic $2$–complexes, Acta Math. 189 (2002) 203 MR1961198
19 R Oliver, Fixed-point sets of group actions on finite acyclic complexes, Comment. Math. Helv. 50 (1975) 155 MR0375361
20 R Oliver, Smooth compact Lie group actions on disks, Math. Z. 149 (1976) 79 MR0423390
21 R Oliver, Group actions on disks, integral permutation representations, and the Burnside ring, from: "Algebraic and geometric topology, Part 1" (editor R J Milgram), Proc. Sympos. Pure Math. 32, Amer. Math. Soc. (1978) 339 MR520510
22 E K Pedersen, C A Weibel, A nonconnective delooping of algebraic $K$–theory, from: "Algebraic and geometric topology" (editors A Ranicki, N Levitt, F Quinn), Lecture Notes in Math. 1126, Springer (1985) 166 MR802790
23 F Quinn, Algebraic $K$–theory over virtually abelian groups, J. Pure Appl. Algebra 216 (2012) 170 MR2826431
24 A Ranicki, Lower $K$– and $L$–theory, London Math. Soc. Lecture Note Series 178, Cambridge Univ. Press (1992) MR1208729
25 W R Scott, Group theory, Dover (1987) MR896269
26 J P Serre, A course in arithmetic, Graduate Texts in Mathematics 7, Springer (1973) MR0344216
27 R G Swan, Induced representations and projective modules, Ann. of Math. 71 (1960) 552 MR0138688
28 C Wegner, The $K$–theoretic Farrell–Jones conjecture for CAT(0)–groups, Proc. Amer. Math. Soc. 140 (2012) 779
29 C Wegner, The Farrell–Jones conjecture for virtually solvable groups, preprint (2015) arXiv:1308.2432