Recent Issues
Volume 25, 1 issue
Volume 24, 9 issues
Volume 24
Issue 9, 4731–5219
Issue 8, 4139–4730
Issue 7, 3571–4137
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 23
Issue 9, 3909–4400
Issue 8, 3417–3908
Issue 7, 2925–3415
Issue 6, 2415–2924
Issue 5, 1935–2414
Issue 4, 1463–1934
Issue 3, 963–1462
Issue 2, 509–962
Issue 1, 1–508
Volume 22, 8 issues
Volume 22
Issue 8, 3533–4008
Issue 7, 3059–3532
Issue 6, 2533–3057
Issue 5, 2007–2532
Issue 4, 1497–2006
Issue 3, 991–1495
Issue 2, 473–990
Issue 1, 1–472
Volume 21, 7 issues
Volume 21
Issue 7, 3221–3734
Issue 6, 2677–3220
Issue 5, 2141–2676
Issue 4, 1595–2140
Issue 3, 1075–1593
Issue 2, 543–1074
Issue 1, 1–541
Volume 20, 7 issues
Volume 20
Issue 7, 3219–3760
Issue 6, 2687–3218
Issue 5, 2145–2685
Issue 4, 1601–2143
Issue 3, 1073–1600
Issue 2, 531–1072
Issue 1, 1–529
Volume 19, 7 issues
Volume 19
Issue 7, 3217–3753
Issue 6, 2677–3215
Issue 5, 2151–2676
Issue 4, 1619–2150
Issue 3, 1079–1618
Issue 2, 533–1078
Issue 1, 1–532
Volume 18, 7 issues
Volume 18
Issue 7, 3749–4373
Issue 6, 3133–3747
Issue 5, 2509–3131
Issue 4, 1883–2507
Issue 3, 1259–1881
Issue 2, 635–1258
Issue 1, 1–633
Volume 17, 6 issues
Volume 17
Issue 6, 3213–3852
Issue 5, 2565–3212
Issue 4, 1917–2564
Issue 3, 1283–1916
Issue 2, 645–1281
Issue 1, 1–643
Volume 16, 6 issues
Volume 16
Issue 6, 3073–3719
Issue 5, 2459–3071
Issue 4, 1827–2458
Issue 3, 1253–1825
Issue 2, 621–1251
Issue 1, 1–620
Volume 15, 6 issues
Volume 15
Issue 6, 3107–3729
Issue 5, 2479–3106
Issue 4, 1863–2477
Issue 3, 1239–1862
Issue 2, 623–1238
Issue 1, 1–622
Volume 14, 6 issues
Volume 14
Issue 6, 3141–3763
Issue 5, 2511–3139
Issue 4, 1881–2509
Issue 3, 1249–1879
Issue 2, 627–1247
Issue 1, 1–625
Volume 13, 6 issues
Volume 13
Issue 6, 3099–3731
Issue 5, 2471–3097
Issue 4, 1857–2469
Issue 3, 1243–1856
Issue 2, 625–1241
Issue 1, 1–624
Volume 12, 4 issues
Volume 12
Issue 4, 1901–2517
Issue 3, 1265–1899
Issue 2, 643–1263
Issue 1, 1–641
Volume 11, 5 issues
Volume 11
Issue 5, 2477–3084
Issue 4, 1861–2475
Issue 3, 1243–1860
Issue 2, 625–1242
Issue 1, 1–624
Volume 10, 4 issues
Volume 10
Issue 4, 1865–2468
Issue 3, 1245–1863
Issue 2, 627–1244
Issue 1, 1–625
Volume 9, 4 issues
Volume 9
Issue 4, 1885–2502
Issue 3, 1255–1883
Issue 2, 625–1254
Issue 1, 1–624
Volume 8, 4 issues
Volume 8
Issue 4, 1855–2414
Issue 3, 1223–1853
Issue 2, 615–1222
Issue 1, 1–613
Volume 7, 4 issues
Volume 7
Issue 4, 1633–2270
Issue 3, 1135–1632
Issue 2, 529–1134
Issue 1, 1–528
Volume 6, 5 issues
Volume 6
Issue 5, 2031–2518
Issue 4, 1519–2029
Issue 3, 1025–1517
Issue 2, 513–1024
Issue 1, 1–512
Volume 5, 4 issues
Volume 5
Issue 4, 1291–1732
Issue 3, 865–1290
Issue 2, 443–864
Issue 1, 1–442
Volume 4, 2 issues
Volume 4
Issue 2, 647–1272
Issue 1, 1–645
Volume 3, 2 issues
Volume 3
Issue 2, 623–1292
Issue 1, 1–622
Volume 2, 2 issues
Volume 2
Issue 2, 591–1204
Issue 1, 1–590
Volume 1, 2 issues
Volume 1
Issue 2, 627–790
Issue 1, 1–625
1
M Bestvina , N
Brady , Morse theory and
finiteness properties of groups , Invent. Math. 129
(1997) 445 MR1465330
2
R Bieri ,
Homological dimension of discrete groups , Queen Mary
College (1976) MR466344
3
I Bokor , D
Crowley , S Friedl , F Hebestreit , D
Kasproswki , M Land , J Nicholson , Connected sum
decompositions of high-dimensional manifolds , from:
"2019–20 MATRIX annals" (editors D R Wood, J de Gier,
C E Praeger, T Tao), MATRIX Book Ser. 4, Springer (2021) 5
MR4294760
4
K S Brown ,
Cohomology of
groups , 87, Springer (1982) MR0672956
5
W J Browning ,
Homotopy types of
certain finite CW–complexes with finite fundamental
group , PhD thesis, Cornell University (1978) MR2628267
6
W J Browning ,
Finite CW–complexes of cohomological dimension 2 with finite abelian π 1 ,
unpublished (1979)
7
H Cartan , S
Eilenberg , Homological
algebra , 19, Princeton Univ. Press (1956) MR0077480
8
W H Cockcroft ,
R G Swan , On the homotopy type
of certain two-dimensional complexes , Proc. Lond. Math.
Soc. 11 (1961) 194 MR0126271
9
J M Cohen ,
Complexes
dominated by a 2 –complex ,
Topology 16 (1977) 409 MR0461485
10
A Conway , D
Crowley , M Powell , J Sixt , Stably
diffeomorphic manifolds and modified surgery obstructions ,
preprint (2021) arXiv:2109.05632
11
A Conway , D
Crowley , M Powell , J Sixt , Simply connected
manifolds with large homotopy stable classes , J. Aust.
Math. Soc. 115 (2023) 172 MR4640118
12
C W Curtis , I
Reiner , Methods of representation theory, I : With
applications to finite groups and orders , Wiley (1981)
MR632548
13
C W Curtis , I
Reiner , Methods of representation theory, II : With
applications to finite groups and orders , Wiley (1987)
MR892316
14
J F Davis ,
A
remark on : ‘Homotopy equivalences and free modules’ [Topology
21 (1982) 91–99] by S
Plotnick , Topology 22 (1983) 487 MR0715252
15
M N Dyer ,
Homotopy
classification of ( π,m ) –complexes , J. Pure Appl. Algebra 7
(1976) 249 MR0400215
16
M N Dyer ,
Nonminimal
roots in homotopy trees , Pacific J. Math. 80 (1979) 371
MR0539423
17
M N Dyer ,
A J Sieradski , A homotopy
classification of 2 –complexes with
finite cyclic fundamental group , Bull. Amer. Math. Soc.
79 (1973) 75 MR0310860
18
M N Dyer ,
A J Sieradski , Trees of homotopy types of
2 –dimensional CW complexes,
II , Trans. Amer. Math. Soc. 205 (1975) 115 MR0425957
19
A Fröhlich , I
Reiner , S Ullom , Class groups and
Picard groups of orders , Proc. Lond. Math. Soc. 29
(1974) 405 MR0357464
20
M Golasiński ,
D L Gonçalves , Spherical space
forms: homotopy types and self-equivalences , from:
"Categorical decomposition techniques in algebraic topology"
(editors G Arone, J Hubbuck, R Levi, M Weiss), Progr. Math.
215, Birkhäuser (2004) 153 MR2039764
21
I Hambleton ,
Two
remarks on Wall’s D 2 problem , Math. Proc. Cambridge
Philos. Soc. 167 (2019) 361 MR3991378
22
I Hambleton , M
Kreck , Cancellation of
lattices and finite two-complexes , J. Reine Angew.
Math. 442 (1993) 91 MR1234837
23
I Hambleton , S
Pamuk , E Yalçın , Equivariant CW–complexes and
the orbit category , Comment. Math. Helv. 88 (2013) 369
MR3048191
24
H Jacobinski ,
Genera and
decompositions of lattices over orders , Acta Math. 121
(1968) 1 MR0251063
25
F E A
Johnson , Explicit homotopy
equivalences in dimension two , Math. Proc. Cambridge
Philos. Soc. 133 (2002) 411 MR1919714
26
F E A
Johnson , Stable modules and
the D (2) –problem , 301, Cambridge Univ. Press
(2003) MR2012779
27
M Kreck , J A
Schafer , Classification and stable
classification of manifolds: some examples , Comment.
Math. Helv. 59 (1984) 12 MR0743942
28
P A Linnell ,
Minimal
free resolutions and ( G,n ) –complexes for
finite abelian groups , Proc. Lond. Math. Soc. 66 (1993)
303 MR1199069
29
S Mac Lane ,
Homology ,
114, Springer (1963) MR156879
30
B Magurn , R
Oliver , L Vaserstein , Units in
Whitehead groups of finite groups , J. Algebra 84 (1983)
324 MR0723396
31
W H Mannan ,
The
D (2)
property for D 8 , Algebr. Geom. Topol. 7 (2007)
517 MR2308955
32
W H Mannan , T
Popiel , An exotic
presentation of Q 28 , Algebr. Geom. Topol. 21 (2021)
2065 MR4302493
33
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 MR0440527
34
R J Milgram ,
Evaluating the
Swan finiteness obstruction for periodic groups , from:
"Algebraic and geometric topology" (editors A Ranicki, N
Levitt, F Quinn), Lecture Notes in Math. 1126, Springer (1985)
127 MR0802788
35
J Milnor , Introduction to
algebraic K –theory , 72,
Princeton Univ. Press (1971) MR0349811
36
J Nicholson ,
Cancellation for ( G,n ) –complexes and
the Swan finiteness obstruction , preprint (2020) arXiv:2005.01664
37
J Nicholson ,
A
cancellation theorem for modules over integral group
rings , Math. Proc. Cambridge Philos. Soc. 171 (2021)
317 MR4299591
38
J Nicholson ,
On CW–complexes
over groups with periodic cohomology , Trans. Amer.
Math. Soc. 374 (2021) 6531 MR4302168
39
J Nicholson , Stably
free modules and the unstable classification of 2 –complexes , preprint (2021) arXiv:2108.02220
40
A J Sieradski ,
A semigroup of
simple homotopy types , Math. Z. 153 (1977) 135 MR0438321
41
A J Sieradski ,
M N Dyer , Distinguishing
arithmetic for certain stably isomorphic modules , J.
Pure Appl. Algebra 15 (1979) 199 MR0535186
42
J Stallings ,
A finitely
presented group whose 3 –dimensional
integral homology is not finitely generated , Amer. J.
Math. 85 (1963) 541 MR0158917
43
R G Swan ,
Induced
representations and projective modules , Ann. of Math.
71 (1960) 552 MR0138688
44
R G Swan ,
Periodic
resolutions for finite groups , Ann. of Math. 72 (1960)
267 MR0124895
45
R G Swan ,
Minimal
resolutions for finite groups , Topology 4 (1965) 193
MR0179234
46
R G Swan ,
K –theory of finite groups and orders ,
149, Springer (1970) MR0308195
47
R G Swan ,
Strong approximation and locally free modules , from:
"Ring theory and algebra, III" (editor B R McDonald),
Lect. Notes Pure Appl. Math. 55, Dekker (1980) 153 MR0584612
48
R G Swan ,
Projective modules
over binary polyhedral groups , J. Reine Angew. Math.
342 (1983) 66 MR0703486
49
C T C Wall ,
Finiteness
conditions for CW–complexes , Ann. of Math. 81 (1965) 56
MR0171284
50
C T C Wall ,
Periodic
projective resolutions , Proc. Lond. Math. Soc. 39
(1979) 509 MR0550082
51
C T C Wall ,
editor, List of problems , from: "Homological group
theory", Lond. Math. Soc. Lect. Note Ser. 36, Cambridge Univ.
Press (1979) 369 MR564438
52
C A Weibel ,
An
introduction to homological algebra , 38, Cambridge
Univ. Press (1994) MR1269324
53
J H C
Whitehead , Simplicial spaces,
nuclei and m –groups , Proc.
Lond. Math. Soc. 45 (1939) 243 MR1576810