Geometry & Topology Volume 22, issue 7 (2018)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Editorial Procedure

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

Other MSP Journals

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