Algebraic & Geometric Topology Volume 13, issue 4 (2013)

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Cohomology of Kac–Moody groups over a finite field

Jaume Aguadé and Albert Ruiz

Algebraic & Geometric Topology 13 (2013) 2207–2238

DOI: 10.2140/agt.2013.13.2207

Bibliography

1	A Adem, R J Milgram, Cohomology of finite groups, Grundl. Math. Wissen. 309, Springer (2004) MR2035696
2	J Aguadé, The arboreal approach to pairs of involutions in rank two, Comm. Algebra 37 (2009) 1104 MR2503197
3	J Aguadé, $p$–compact groups as subgroups of maximal rank of Kac–Moody groups, J. Math. Kyoto Univ. 49 (2009) 83 MR2531131
4	J Aguadé, C Broto, N Kitchloo, L Saumell, Cohomology of classifying spaces of central quotients of rank two Kac–Moody groups, J. Math. Kyoto Univ. 45 (2005) 449 MR2206359
5	J Aguadé, C Broto, L Saumell, Rank two integral representations of the infinite dihedral group, Comm. Algebra 35 (2007) 1539 MR2317628
6	J Aguadé, A Ruiz, Maps between classifying spaces of Kac–Moody groups, Adv. Math. 178 (2003) 66 MR1994344
7	C Broto, N Kitchloo, Classifying spaces of Kac–Moody groups, Math. Z. 240 (2002) 621 MR1924024
8	C Broto, J M Møller, Chevalley $p$–local finite groups, Algebr. Geom. Topol. 7 (2007) 1809 MR2366180
9	K S Brown, Cohomology of groups, Graduate Texts in Mathematics 87, Springer (1982) MR672956
10	A Dold, Lectures on algebraic topology, Grundl. Math. Wissen. 200, Springer (1980) MR606196
11	Z Fiedorowicz, S Priddy, Homology of classical groups over finite fields and their associated infinite loop spaces, Lecture Notes in Mathematics 674, Springer (1978) MR513424
12	J D Foley, Comparing Kac–Moody groups over the complex numbers and fields of positive characteristic via homotopy theory, PhD thesis, University of California, San Diego (2012) MR3047264
13	E M Friedlander, Computations of $K$–theories of finite fields, Topology 15 (1976) 87 MR0394660
14	A González, Unstable Adams operations acting on $p$–local compact groups and fixed points, Algebr. Geom. Topol. 12 (2012) 867 MR2914621
15	J Grodal, The classification of $p$–compact groups and homotopical group theory, from: "Proc. ICM Vol. II" (editors R Bhatia, A Pal, G Rangarajan, V Srinivas, M Vanninathan), Hindustan Book Agency (2010) 973 MR2827828
16	V G Kac, Constructing groups associated to infinite-dimensional Lie algebras, from: "Infinite-dimensional groups with applications" (editor V Kac), Math. Sci. Res. Inst. Publ. 4, Springer (1985) 167 MR823320
17	V G Kac, D H Peterson, Defining relations of certain infinite-dimensional groups, from: "The mathematical heritage of Élie Cartan", Astérisque, SMF (1985) 165 MR837201
18	N Kitchloo, Topology of Kac–Moody groups, PhD thesis, MIT (1998)
19	S A Mitchell, Quillen's theorem on buildings and the loops on a symmetric space, Enseign. Math. 34 (1988) 123 MR960196
20	B Rémy, Groupes de Kac–Moody déployés et presque déployés, Astérisque 277, SMF (2002) MR1909671
21	A Ruiz, Maps between classifying spaces of rank two Kac–Moody groups, PhD thesis, Universidad Autònoma de Barcelona (2001)
22	L Smith, Polynomial invariants of finite groups, Research Notes in Mathematics 6, A K Peters Ltd. (1995) MR1328644
23	J Tits, Ensembles ordonnés, immeubles et sommes amalgamées, Bull. Soc. Math. Belg. Sér. A 38 (1986) 367 MR885545
24	J Tits, Uniqueness and presentation of Kac–Moody groups over fields, J. Algebra 105 (1987) 542 MR873684