Volume 6, issue 1 (2006)

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

Volume 24
Issue 6, 2971–3570
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594

Volume 23, 9 issues

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
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
Generalised Swan modules and the D(2) problem

Tim Edwards

Algebraic & Geometric Topology 6 (2006) 71–89
Bibliography
1 H Bass, M P Murthy, Grothendieck groups and Picard groups of abelian group rings, Ann. of Math. $(2)$ 86 (1967) 16 MR0219592
2 F R Beyl, N Waller, A stably free nonfree module and its relevance for homotopy classification, case $Q_{28}$, Algebr. Geom. Topol. 5 (2005) 899 MR2171797
3 W Browning, Homotopy types of certain finite C.W. complexes with finite fundamental group, PhD thesis, Cornell University (1978)
4 H Cartan, S Eilenberg, Homological algebra, Princeton University Press (1956) MR0077480
5 R H Fox, Free differential calculus V: The Alexander matrices re-examined, Ann. of Math. $(2)$ 71 (1960) 408 MR0111781
6 J J A M Humphreys, Algebraic properties of semi-simple lattices and related groups, PhD thesis, University of London (2005)
7 F E A Johnson, Explicit homotopy equivalences in dimension two, Math. Proc. Cambridge Philos. Soc. 133 (2002) 411 MR1919714
8 F E A Johnson, Stable modules and the $D(2)$–problem, London Mathematical Society Lecture Note Series 301, Cambridge University Press (2003) MR2012779
9 F E A Johnson, Minimal 2–complexes and the $\mathrm D(2)$–problem, Proc. Amer. Math. Soc. 132 (2004) 579 MR2022384
10 T Y Lam, Serre's conjecture, Springer (1978) MR0485842
11 M P Latiolais, Simple homotopy type of finite 2–complexes with finite abelian fundamental group, Trans. Amer. Math. Soc. 293 (1986) 655 MR816317
12 S Mac Lane, Homology, Classics in Mathematics, Springer (1995) MR1344215
13 W Mannan, PhD Thesis, in preparation
14 J Milnor, Introduction to algebraic $K$–theory, Princeton University Press (1971) MR0349811
15 R G Swan, Induced representations and projective modules, Ann. of Math. $(2)$ 71 (1960) 552 MR0138688
16 R G Swan, Periodic resolutions for finite groups, Ann. of Math. $(2)$ 72 (1960) 267 MR0124895
17 R G Swan, Projective modules over binary polyhedral groups, J. Reine Angew. Math. 342 (1983) 66 MR703486
18 C T C Wall, Finiteness conditions for $\mathrm{CW}$–complexes, Ann. of Math. $(2)$ 81 (1965) 56 MR0171284