Volume 20, issue 5 (2016)

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

Volume 29
Issue 5, 2251–2782
Issue 4, 1693–2250
Issue 3, 1115–1691
Issue 2, 549–1114
Issue 1, 1–548

Volume 28, 9 issues

Volume 27, 9 issues

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
 
Author index
To appear
 
Other MSP journals
Finite approximations of $p$–local compact groups

Alex Gonzalez

Geometry & Topology 20 (2016) 2923–2995
Bibliography
1 K K S Andersen, J Grodal, The classification of 2–compact groups, J. Amer. Math. Soc. 22 (2009) 387 MR2476779
2 K K S Andersen, J Grodal, J M Møller, A Viruel, The classification of p–compact groups for p odd, Ann. of Math. 167 (2008) 95 MR2373153
3 A K Bousfield, D M Kan, Homotopy limits, completions and localizations, 304, Springer (1972) MR0365573
4 C Broto, N Castellana, J Grodal, R Levi, B Oliver, Subgroup families controlling p–local finite groups, Proc. London Math. Soc. 91 (2005) 325 MR2167090
5 C Broto, N Castellana, J Grodal, R Levi, B Oliver, Extensions of p–local finite groups, Trans. Amer. Math. Soc. 359 (2007) 3791 MR2302515
6 C Broto, R Levi, B Oliver, The homotopy theory of fusion systems, J. Amer. Math. Soc. 16 (2003) 779 MR1992826
7 C Broto, R Levi, B Oliver, Discrete models for the p–local homotopy theory of compact Lie groups and p–compact groups, Geom. Topol. 11 (2007) 315 MR2302494
8 C Broto, R Levi, B Oliver, An algebraic model for finite loop spaces, Algebr. Geom. Topol. 14 (2014) 2915 MR3276851
9 J Cantarero, N Castellana, Unitary embeddings of finite loop spaces, preprint (2013) arXiv:1310.2848
10 H Cartan, S Eilenberg, Homological algebra, Princeton Univ. Press (1956) MR0077480
11 N Castellana, A Libman, Wreath products and representations of p–local finite groups, Adv. Math. 221 (2009) 1302 MR2518640
12 A Chermak, Fusion systems and localities, Acta Math. 211 (2013) 47 MR3118305
13 A Díaz, A Libman, The Burnside ring of fusion systems, Adv. Math. 222 (2009) 1943 MR2562769
14 A Díaz, A Libman, Segal’s conjecture and the Burnside rings of fusion systems, J. Lond. Math. Soc. 80 (2009) 665 MR2559122
15 A Díaz Ramos, A spectral sequence for fusion systems, Algebr. Geom. Topol. 14 (2014) 349 MR3158762
16 W G Dwyer, C W Wilkerson, Homotopy fixed-point methods for Lie groups and finite loop spaces, Ann. of Math. 139 (1994) 395 MR1274096
17 W Dwyer, A Zabrodsky, Maps between classifying spaces, from: "Algebraic topology" (editors J Aguadé, R Kane), Lecture Notes in Math. 1298, Springer (1987) 106 MR928826
18 E D Farjoun, Cellular spaces, null spaces and homotopy localization, 1622, Springer (1996) MR1392221
19 E M Friedlander, G Mislin, Cohomology of classifying spaces of complex Lie groups and related discrete groups, Comment. Math. Helv. 59 (1984) 347 MR761803
20 E M Friedlander, G Mislin, Locally finite approximation of Lie groups, I, Invent. Math. 83 (1986) 425 MR827361
21 M Gelvin, S P Reeh, Minimal characteristic bisets for fusion systems, J. Algebra 427 (2015) 345 MR3312309
22 M Gelvin, S P Reeh, E Yalçın, On the basis of the Burnside ring of a fusion system, J. Algebra 423 (2015) 767 MR3283739
23 A González, Unstable Adams operations acting on p–local compact groups and fixed points, Algebr. Geom. Topol. 12 (2012) 867 MR2914621
24 A González, The structure of p–local compact groups of rank 1, Forum Math. 28 (2016) 219 MR3466567
25 D Gorenstein, Finite groups, Chelsea (1980) MR569209
26 F Junod, R Levi, A Libman, Unstable Adams operations on p–local compact groups, Algebr. Geom. Topol. 12 (2012) 49 MR2889545
27 J Lannes, Sur les espaces fonctionnels dont la source est le classifiant d’un p–groupe abélien élémentaire, Inst. Hautes Études Sci. Publ. Math. 75 (1992) 135 MR1179079
28 R Levi, A Libman, Existence and uniqueness of classifying spaces for fusion systems over discrete p–toral groups, J. Lond. Math. Soc. 91 (2015) 47 MR3338608
29 B Oliver, Existence and uniqueness of linking systems : Chermak’s proof via obstruction theory, Acta Math. 211 (2013) 141 MR3118306
30 B Oliver, J Ventura, Extensions of linking systems with p–group kernel, Math. Ann. 338 (2007) 983 MR2317758
31 D Quillen, Higher algebraic K–theory, I, from: "Algebraic K–theory, I : Higher K–theories" (editor H Bass), Lecture Notes in Math. 341, Springer (1973) 85 MR0338129
32 K Ragnarsson, R Stancu, Saturated fusion systems as idempotents in the double Burnside ring, Geom. Topol. 17 (2013) 839 MR3070516
33 L Ribes, P Zalesskii, Profinite groups, 40, Springer (2000) MR1775104
34 K Rubin, Euler systems, 147, Princeton Univ. Press (2000) MR1749177
35 R W Thomason, Homotopy colimits in the category of small categories, Math. Proc. Cambridge Philos. Soc. 85 (1979) 91 MR510404
36 C A Weibel, An introduction to homological algebra, 38, Cambridge Univ. Press (1994) MR1269324