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1
P H Berridge ,
M J Dunwoody , Nonfree projective
modules for torsion-free groups , J. Lond. Math. Soc. 19
(1979) 433 MR540056
2
M Bestvina , N
Brady , Morse theory and
finiteness properties of groups , Invent. Math. 129
(1997) 445 MR1465330
3
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
4
F R Beyl , N
Waller , Examples of exotic free
2 –complexes and stably free nonfree
modules for quaternion groups , Algebr. Geom. Topol. 8
(2008) 1 MR2377275
5
I Bokor , D
Crowley , S Friedl , F Hebestreit , D
Kasprowski , M Land , J Nicholson , Connected sum
decompositions of high-dimensional manifolds , from:
"2019–20 MATRIX annals" (editors D R Wood, J d Gier,
C E Praeger, T Tao), Springer (2021) 5
6
W Bosma , J
Cannon , C Playoust , The Magma algebra
system, I : The user language , J. Symbolic Comput. 24
(1997) 235 MR1484478
7
M R Bridson , M
Tweedale , Deficiency and
abelianized deficiency of some virtually free groups ,
Math. Proc. Cambridge Philos. Soc. 143 (2007) 257 MR2364648
8
M J Dunwoody ,
The homotopy
type of a two-dimensional complex , Bull. Lond. Math.
Soc. 8 (1976) 282 MR425943
9
T Edwards , Generalised Swan
modules and the D (2) problem , Algebr. Geom. Topol. 6
(2006) 71 MR2199454
10
R H Fox ,
Free differential
calculus, V : The Alexander matrices re-examined , Ann.
of Math. 71 (1960) 408 MR111781
11
K W Gruenberg ,
P A Linnell , Generation gaps and
abelianized defects of free products , J. Group Theory
11 (2008) 587 MR2446142
12
I Hambleton ,
Two
remarks on Wall’s D 2 problem , Math. Proc. Cambridge
Philos. Soc. 167 (2019) 361 MR3991378
13
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), Lond. Math. Soc. Lect. Note
Ser. 446, Cambridge Univ. Press (2018) 1 MR3752465
14
C Hog-Angeloni ,
Beiträge zum (einfachen) Homotopietyp zweidimensionaler
Komplexe zu freien Produkten und anderen gruppentheoretischen
Konstruktionen , PhD thesis, Goethe-Universität Frankfurt am
Main (1988)
15
F E A
Johnson , Explicit homotopy
equivalences in dimension two , Math. Proc. Cambridge
Philos. Soc. 133 (2002) 411 MR1919714
16
F E A
Johnson , Stable modules and
the D (2) –problem , 301, Cambridge Univ. Press
(2003) MR2012779
17
F E A
Johnson , Stable modules and
Wall’s D (2) –problem , Comment. Math. Helv. 78
(2003) 18 MR1966750
18
F E A
Johnson , Minimal
2 –complexes and the D (2) –problem , Proc. Amer. Math. Soc. 132
(2004) 579 MR2022384
19
M P Latiolais ,
Homotopy and
homology classification of 2 –complexes , from: "Two-dimensional
homotopy and combinatorial group theory" (editors C
Hog-Angeloni, W Metzler), Lond. Math. Soc. Lect. Note Ser. 197,
Cambridge Univ. Press (1993) 97 MR1279177
20
P A Linnell ,
Minimal
free resolutions and ( G,n ) –complexes for
finite abelian groups , Proc. Lond. Math. Soc. 66 (1993)
303 MR1199069
21
M Lustig , Infinitely many
pairwise homotopy inequivalent 2 –complexes K i with
fixed π 1 K i and
χ ( K i ) ,
J. Pure Appl. Algebra 88 (1993) 173 MR1233322
22
W H Mannan ,
The
D (2)
property for D 8 , Algebr. Geom. Topol. 7 (2007)
517 MR2308955
23
W H Mannan ,
Homotopy types of
truncated projective resolutions , Homology Homotopy
Appl. 9 (2007) 445 MR2366957
24
W H Mannan ,
Quillen’s
plus construction and the D (2)
problem , Algebr. Geom. Topol. 9 (2009) 1399 MR2520404
25
W H Mannan ,
Realizing algebraic
2 –complexes by cell
complexes , Math. Proc. Cambridge Philos. Soc. 146
(2009) 671 MR2496351
26
W H Mannan ,
A
commutative version of the group ring , J. Algebra 379
(2013) 113 MR3019248
27
W H Mannan ,
Explicit
generators for the relation module in the example of
Gruenberg–Linnell , Math. Proc. Cambridge Philos. Soc.
161 (2016) 199 MR3530503
28
W H Mannan , S
O’Shea , Minimal algebraic
complexes over D 4 n ,
Algebr. Geom. Topol. 13 (2013) 3287 MR3248735
29
W Metzler , Über den Homotopietyp
zweidimensionaler CW–Komplexe und Elementartransformationen bei
Darstellungen von Gruppen durch Erzeugende und definierende
Relationen , J. Reine Angew. Math. 285 (1976) 7 MR440527
30
J Nicholson ,
Cancellation for ( G,n ) –complexes and
the Swan finiteness obstruction , preprint (2020) arXiv:2005.01664
31
J Nicholson ,
Projective modules and the homotopy classification of
( G,n ) –complexes , preprint (2020) arXiv:2004.04252
32
J Nicholson ,
A
cancellation theorem for modules over integral group
rings , Math. Proc. Cambridge Philos. Soc. (2020)
33
J Nicholson ,
On CW–complexes
over groups with periodic cohomology , Trans. Amer.
Math. Soc. (2021)
34
S O’Shea , The D (2) –problem for
dihedral groups of order 4 n ,
Algebr. Geom. Topol. 12 (2012) 2287 MR3020207
35
J R Stallings ,
On torsion-free
groups with infinitely many ends , Ann. of Math. 88
(1968) 312 MR228573
36
R G Swan ,
Groups of
cohomological dimension one , J. Algebra 12 (1969) 585
MR240177
37
R G Swan ,
Projective modules
over binary polyhedral groups , J. Reine Angew. Math.
342 (1983) 66 MR703486
38
C T C Wall ,
Finiteness
conditions for CW–complexes , Ann. of Math. 81 (1965) 56
MR171284
39
C T C Wall ,
List of problems , from: "Homological group theory"
(editor C T C Wall), London Mathematical Society
Lecture Note Series 36, Cambridge Univ. Press (1979) 369
MR564417