Algebraic & Geometric Topology Volume 13, issue 1 (2013)

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ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

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Complete intersections and mod $p$ cochains

David J Benson, John P C Greenlees and Shoham Shamir

Algebraic & Geometric Topology 13 (2013) 61–114

DOI: 10.2140/agt.2013.13.61

Bibliography

1	J Aguadé, C Broto, D Notbohm, Homotopy classification of spaces with interesting cohomology and a conjecture of Cooke, I, Topology 33 (1994) 455 MR1286926
2	J L Alperin, R Brauer, D Gorenstein, Finite groups with quasi-dihedral and wreathed Sylow 2–subgroups, Trans. Amer. Math. Soc. 151 (1970) 1 MR0284499
3	K K S Andersen, J Grodal, The classification of 2–compact groups, J. Amer. Math. Soc. 22 (2009) 387 MR2476779
4	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
5	L L Avramov, Infinite free resolutions, from: "Six lectures on commutative algebra" (editors J Elias, J M Giral, R M Miró-Roig, S Zarzuela), Progr. Math. 166, Birkhäuser (1998) 1 MR1648664
6	L L Avramov, Locally complete intersection homomorphisms and a conjecture of Quillen on the vanishing of cotangent homology, Ann. of Math. 150 (1999) 455 MR1726700
7	L L Avramov, R O Buchweitz, Support varieties and cohomology over complete intersections, Invent. Math. 142 (2000) 285 MR1794064
8	D Benson, An algebraic model for chains on ΩBG_p^∧, Trans. Amer. Math. Soc. 361 (2009) 2225 MR2465835
9	D J Benson, J F Carlson, Projective resolutions and Poincaré duality complexes, Trans. Amer. Math. Soc. 342 (1994) 447 MR1142778
10	D J Benson, J P C Greenlees, Complete intersections and derived categories (2009) arXiv:0906.4025
11	N Castellana, The homotopic adjoint representation for the exotic p–compact groups, preprint (1999)
12	N Castellana, On the p–compact groups corresponding to the p–adic reflection groups G(q,r,n), Trans. Amer. Math. Soc. 358 (2006) 2799 MR2216246
13	W G Dwyer, Strong convergence of the Eilenberg–Moore spectral sequence, Topology 13 (1974) 255 MR0394663
14	W G Dwyer, J P C Greenlees, Complete modules and torsion modules, Amer. J. Math. 124 (2002) 199 MR1879003
15	W G Dwyer, J P C Greenlees, S Iyengar, Duality in algebra and topology, Adv. Math. 200 (2006) 357 MR2200850
16	W Dwyer, J P C Greenlees, S Iyengar, Finiteness in derived categories of local rings, Comment. Math. Helv. 81 (2006) 383 MR2225632
17	W G Dwyer, C W Wilkerson, Homotopy fixed-point methods for Lie groups and finite loop spaces, Ann. of Math. 139 (1994) 395 MR1274096
18	D Eisenbud, Subrings of Artinian and Noetherian rings, Math. Ann. 185 (1970) 247 MR0262275
19	D Eisenbud, Homological algebra on a complete intersection, with an application to group representations, Trans. Amer. Math. Soc. 260 (1980) 35 MR570778
20	A D Elmendorf, I Kriz, M A Mandell, J P May, Rings, modules, and algebras in stable homotopy theory, 47, American Mathematical Society (1997) MR1417719
21	K Erdmann, Algebras and semidihedral defect groups, II, Proc. London Math. Soc. 60 (1990) 123 MR1023807
22	Y Félix, S Halperin, J C Thomas, Elliptic Hopf algebras, J. London Math. Soc. 43 (1991) 545 MR1113392
23	Y Félix, S Halperin, J C Thomas, Rational homotopy theory, 205, Springer (2001) MR1802847
24	Y Felix, J C Thomas, M Vigué-Poirrier, The Hochschild cohomology of a closed manifold, Publ. Math. Inst. Hautes Études Sci. (2004) 235 MR2075886
25	Z Fiedorowicz, S Priddy, Homology of classical groups over finite fields and their associated infinite loop spaces, 674, Springer (1978) MR513424
26	J P C Greenlees, Spectra for commutative algebraists, from: "Interactions between homotopy theory and algebra" (editors L L Avramov, J D Christensen, W G Dwyer, M A Mandell, B E Shipley), Contemp. Math. 436, Amer. Math. Soc. (2007) 149 MR2355773
27	J P C Greenlees, K Hess, S Shamir, Complete intersections in rational homotopy theory, J. Pure Appl. Algebra 217 (2013) 636 MR2983840
28	T H Gulliksen, A change of ring theorem with applications to Poincaré series and intersection multiplicity, Math. Scand. 34 (1974) 167 MR0364232
29	T H Gulliksen, On the deviations of a local ring, Math. Scand. 47 (1980) 5 MR600076
30	M Hovey, B Shipley, J Smith, Symmetric spectra, J. Amer. Math. Soc. 13 (2000) 149 MR1695653
31	N R Kitchloo, Topology of Kac–Moody groups, Ph.D. thesis, Massachusetts Institute of Technology (1998) MR2716803
32	S N Kleinerman, The cohomology of Chevalley groups of exceptional Lie type, Mem. Amer. Math. Soc. 39 (1982) MR668808
33	R Levi, On finite groups and homotopy theory, Mem. Amer. Math. Soc. 118 (1995) MR1308466
34	R Levi, A counter-example to a conjecture of Cohen, from: "Algebraic topology : New trends in localization and periodicity" (editors C Broto, C Casacuberta, G Mislin), Progr. Math. 136, Birkhäuser (1996) 261 MR1397737
35	R Levi, On homological rate of growth and the homotopy type of ΩBG_p^∧, Math. Z. 226 (1997) 429 MR1483541
36	R Levi, On p–completed classifying spaces of discrete groups and finite complexes, J. London Math. Soc. 59 (1999) 1064 MR1709097
37	T Y Lin, Duality and Eilenberg–Mac Lane spectra, Proc. Amer. Math. Soc. 56 (1976) 291 MR0402738
38	M A Mandell, E_∞ algebras and p–adic homotopy theory, Topology 40 (2001) 43 MR1791268
39	J M Møller, N–determined 2–compact groups, I, Fund. Math. 195 (2007) 11 MR2314074
40	J M Møller, N–determined 2–compact groups, II, Fund. Math. 196 (2007) 1 MR2338539
41	B Oliver, Equivalences of classifying spaces completed at the prime two, Mem. Amer. Math. Soc. 180 (2006) MR2203209
42	D Quillen, The mod 2 cohomology rings of extra-special 2–groups and the spinor groups, Math. Ann. 194 (1971) 197 MR0290401
43	D Quillen, On the cohomology and K–theory of the general linear groups over a finite field, Ann. of Math. 96 (1972) 552 MR0315016
44	J P Serre, Sur la dimension homologique des anneaux et des modules noethériens, from: "Proceedings of the international symposium on algebraic number theory", Science Council of Japan (1956) 175 MR0086071
45	J Shamash, The Poincaré series of a local ring, J. Algebra 12 (1969) 453 MR0241411
46	S Shamir, Hochschild cohomology of cochain-algebras and local coefficients, In preparation
47	B Shipley, Hℤ–algebra spectra are differential graded algebras, Amer. J. Math. 129 (2007) 351 MR2306038
48	K Ziemiański, A faithful unitary representation of the 2–compact group DI(4), J. Pure Appl. Algebra 213 (2009) 1239 MR2497572