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1
S Bauer , The homotopy type of a
4 –manifold with finite fundamental
group , from: "Algebraic topology and transformation
groups", Lecture Notes in Mathematics 1361, Springer (1988) 1
MR979503
2
K S Brown ,
Cohomology of
groups , 87, Springer (1994) MR1324339
3
H Cartan , S
Eilenberg , Homological
algebra , Princeton Univ. Press (1956) MR0077480
4
R H Fox ,
Free differential
calculus, V : The Alexander matrices re-examined , Ann.
of Math. 71 (1960) 408 MR111781
5
I Hambleton ,
Two
remarks on Wall’s D2 problem , Math. Proc. Cambridge
Philos. Soc. 167 (2019) 361 MR3991378
6
I Hambleton , M
Kreck , On
the classification of topological 4 –manifolds with finite fundamental
group , Math. Ann. 280 (1988) 85 MR928299
7
I Hambleton , M
Kreck , Cancellation, elliptic surfaces
and the topology of certain four-manifolds , J. Reine
Angew. Math. 444 (1993) 79 MR1241794
8
I Hambleton , M
Kreck , Cancellation of lattices and
finite two-complexes , J. Reine Angew. Math. 442 (1993)
91 MR1234837
9
I Hambleton , M
Kreck , On the
classification of topological 4 –manifolds with finite fundamental group :
corrigendum , Math. Ann. 372 (2018) 527 MR3856820
10
I Hambleton ,
R J Milgram , Poincaré
transversality for double covers , Canadian J. Math. 30
(1978) 1319 MR511566
11
J Harlander ,
A survey
of recent progress on some problems in 2 –dimensional topology , from: "Advances
in two-dimensional homotopy and combinatorial group theory"
(editors W Metzler, S Rosebrock), London Mathematical Society
Lecture Note Series 446, Cambridge Univ. Press (2018) 1
MR3751362
12
M Hennes , Über
Homotopietypen von vierdimensionalen Polyedern , 226,
Mathematisches Institut, Universität Bonn (1991) MR1228445
13
F E A
Johnson , Stable modules and
the D (2) –problem , 301, Cambridge Univ. Press
(2003) MR2012779
14
F E A
Johnson , Syzygies and
homotopy theory , 17, Springer (2012) MR3024350
15
F E A
Johnson , Syzygies and
diagonal resolutions for dihedral groups , Comm. Algebra
44 (2016) 2034 MR3490663
16
D Kasprowski , M
Powell , B Ruppik , Homotopy classification of
4 –manifolds with finite abelian
2 –generator fundamental groups ,
preprint (2020) arXiv:2005.00274
17
D Kasprowski , P
Teichner , ℂℙ 2 –stable classification of 4 –manifolds with finite fundamental
group , Pacific J. Math. 310 (2021) 355 MR4229242
18
M H Kim , S
Kojima , F Raymond , Homotopy invariants of
nonorientable 4 –manifolds ,
Trans. Amer. Math. Soc. 333 (1992) 71 MR1028758
19
W H Mannan , S
O’Shea , Minimal algebraic
complexes over D 4 n ,
Algebr. Geom. Topol. 13 (2013) 3287 MR3248735
20
J Nicholson ,
Projective modules and the homotopy classification of
( G,n ) –complexes , preprint (2020) arXiv:2004.04252
21
J Nicholson ,
On CW–complexes
over groups with periodic cohomology , Trans. Amer.
Math. Soc. 374 (2021) 6531 MR4302168
22
B M Ruppik ,
Torsion-in-gamma ,
GitHub repository (2016)
23
B M Ruppik ,
Torsion in Γ( π 2 K ) ∕π 1 K ,
Bachelor’s Thesis, Universität Bonn (2016)
24
R Swan , Periodic resolutions for
finite groups , Ann. of Math. (2) 72 (1960) 267 MR124895
25
P Teichner ,
Topological 4 –manifolds with
finite fundamental group , PhD thesis, University of Mainz
(1992)
26
C T C Wall ,
Poincaré complexes
: I , Ann. of Math. 86 (1967) 213 MR217791
27
J H C
Whitehead , A
certain exact sequence , Ann. of Math. 52 (1950) 51
MR35997