Geometry & Topology Volume 22, issue 7 (2018)

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Endotrivial representations of finite groups and equivariant line bundles on the Brown complex

Paul Balmer

Geometry & Topology 22 (2018) 4145–4161

DOI: 10.2140/gt.2018.22.4145

Bibliography

1	P Balmer, Modular representations of finite groups with trivial restriction to Sylow subgroups, J. Eur. Math. Soc. 15 (2013) 2061 MR3120735
2	P Balmer, Stacks of group representations, J. Eur. Math. Soc. 17 (2015) 189 MR3312406
3	S Bouc, Homologie de certains ensembles ordonnés, C. R. Acad. Sci. Paris Sér. I Math. 299 (1984) 49 MR756517
4	K S Brown, Euler characteristics of groups : the p–fractional part, Invent. Math. 29 (1975) 1 MR0385008
5	J F Carlson, N Mazza, D K Nakano, Endotrivial modules for the general linear group in a nondefining characteristic, Math. Z. 278 (2014) 901 MR3278897
6	J F Carlson, J Thévenaz, The classification of endo-trivial modules, Invent. Math. 158 (2004) 389 MR2096798
7	J F Carlson, J Thévenaz, The classification of torsion endo-trivial modules, Ann. of Math. 162 (2005) 823 MR2183283
8	J F Carlson, J Thévenaz, The torsion group of endotrivial modules, Algebra Number Theory 9 (2015) 749 MR3340550
9	V Guillemin, V Ginzburg, Y Karshon, Moment maps, cobordisms, and Hamiltonian group actions, 98, Amer. Math. Soc. (2002) MR1929136
10	A Hattori, T Yoshida, Lifting compact group actions in fiber bundles, Japan. J. Math. 2 (1976) 13 MR0461538
11	R Knörr, G R Robinson, Some remarks on a conjecture of Alperin, J. London Math. Soc. 39 (1989) 48 MR989918
12	D Quillen, Homotopy properties of the poset of nontrivial p–subgroups of a group, Adv. in Math. 28 (1978) 101 MR493916
13	G Segal, Equivariant K–theory, Inst. Hautes Études Sci. Publ. Math. 34 (1968) 129 MR0234452
14	P Symonds, The orbit space of the p–subgroup complex is contractible, Comment. Math. Helv. 73 (1998) 400 MR1633359
15	J Thévenaz, Equivariant K–theory and Alperin’s conjecture, J. Pure Appl. Algebra 85 (1993) 185 MR1207508
16	J Thévenaz, P J Webb, Homotopy equivalence of posets with a group action, J. Combin. Theory Ser. A 56 (1991) 173 MR1092846
17	P J Webb, Subgroup complexes, from: "The Arcata conference on representations of finite groups" (editor P Fong), Proc. Sympos. Pure Math. 47, Amer. Math. Soc. (1987) 349 MR933372