Algebraic & Geometric Topology Volume 7, issue 4 (2007)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Other MSP journals

Non-finiteness results for Nil-groups

Joachim Grunewald

Algebraic & Geometric Topology 7 (2007) 1979–1986

DOI: 10.2140/agt.2007.7.1979

Bibliography

1	A Bartels, W Lück, Isomorphism conjecture for homotopy $K$–theory and groups acting on trees, J. Pure Appl. Algebra 205 (2006) 660 MR2210223
2	F T Farrell, The obstruction to fibering a manifold over a circle, Indiana Univ. Math. J. 21 (1971/1972) 315 MR0290397
3	F T Farrell, The nonfiniteness of Nil, Proc. Amer. Math. Soc. 65 (1977) 215 MR0450328
4	F T Farrell, W C Hsiang, A formula for $K_{1}R_{\alpha}[T]$, from: "Applications of Categorical Algebra (Proc. Sympos. Pure Math., Vol. XVII, New York, 1968)", Amer. Math. Soc. (1970) 192 MR0260836
5	F T Farrell, L E Jones, The lower algebraic $K$–theory of virtually infinite cyclic groups, K–Theory 9 (1995) 13 MR1340838
6	D R Grayson, The $K$–theory of semilinear endomorphisms, J. Algebra 113 (1988) 358 MR929766
7	J Grunewald, The Behavior of Nil-Groups under Localization and the Relative Assembly Map, Preprintreihe SFB 478–Geometrische Strukturen in der Mathematik, Münster, Heft 429 (2006)
8	A O Kuku, G Tang, Higher $K$–theory of group-rings of virtually infinite cyclic groups, Math. Ann. 325 (2003) 711 MR1974565
9	R Ramos, Non Finiteness of twisted Nils, preprint (2006)
10	F Waldhausen, Algebraic $K$–theory of generalized free products I, II, Ann. of Math. $(2)$ 108 (1978) 135 MR0498807
11	F Waldhausen, Algebraic $K$–theory of generalized free products III, IV, Ann. of Math. $(2)$ 108 (1978) 205 MR0498808