#### Volume 5, issue 3 (2005)

A stably free nonfree module and its relevance for homotopy classification, case $Q_{28}$
 1 F R Beyl, M P Latiolais, N Waller, Classifications of 2–complexes whose finite fundamental group is that of a 3–manifold, Proc. Edinburgh Math. Soc. $(2)$ 40 (1997) 69 MR1437812 2 H Cartan, S Eilenberg, Homological algebra, Princeton University Press (1956) MR0077480 3 C W Curtis, I Reiner, Methods of representation theory Vol II, Pure and Applied Mathematics (New York), John Wiley & Sons (1987) MR892316 4 K W Gruenberg, P A Linnell, Minimal free resolutions of lattices over finite groups, Illinois J. Math. 32 (1988) 361 MR947033 5 , Two-dimensional homotopy and combinatorial group theory, London Mathematical Society Lecture Note Series 197, Cambridge University Press (1993) MR1279174 6 F E A Johnson, Stable modules and Wall's $D(2)$–problem, Comment. Math. Helv. 78 (2003) 18 MR1966750 7 F E A Johnson, Minimal 2–complexes and the $\mathrm D(2)$–problem, Proc. Amer. Math. Soc. 132 (2004) 579 MR2022384 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 J Milnor, Introduction to algebraic $K$–theory, Annals of Mathematics Studies 72, Princeton University Press (1971) MR0349811 10 R G Swan, Induced representations and projective modules, Ann. of Math. $(2)$ 71 (1960) 552 MR0138688 11 R G Swan, Periodic resolutions for finite groups, Ann. of Math. $(2)$ 72 (1960) 267 MR0124895 12 R G Swan, Projective modules over binary polyhedral groups, J. Reine Angew. Math. 342 (1983) 66 MR703486 13 K Varadarajan, The finiteness obstruction of C T C Wall, Canadian Mathematical Society Series of Monographs and Advanced Texts, John Wiley & Sons (1989) MR989589 14 C T C Wall, Finiteness conditions for $\mathrm{CW}$–complexes, Ann. of Math. $(2)$ 81 (1965) 56 MR0171284 15 C T C Wall, Finiteness conditions for $\mathrm{CW}$ complexes II, Proc. Roy. Soc. Ser. A 295 (1966) 129 MR0211402