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

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Other MSP Journals

Free actions on products of spheres at high dimensions

Osman Berat Okutan and Ergün Yalçın

Algebraic & Geometric Topology 13 (2013) 2087–2099

DOI: 10.2140/agt.2013.13.2087

Bibliography

1	A Adem, Torsion in equivariant cohomology, Comment. Math. Helv. 64 (1989) 401 MR998857
2	A Adem, W Browder, The free rank of symmetry of $(S^n)^k$, Invent. Math. 92 (1988) 431 MR936091
3	D J Benson, J F Carlson, Complexity and multiple complexes, Math. Z. 195 (1987) 221 MR892053
4	W Browder, Cohomology and group actions, Invent. Math. 71 (1983) 599 MR695909
5	K S Brown, Cohomology of groups, Graduate Texts in Mathematics 87, Springer (1982) MR672956
6	G Carlsson, On the rank of abelian groups acting freely on $(S^{n})^{k}$, Invent. Math. 69 (1982) 393 MR679764
7	C W Curtis, I Reiner, Representation theory of finite groups and associative algebras, Pure and Applied Mathematics 11, Interscience Publishers, a division of John Wiley & Sons (1962) MR0144979
8	L Evens, The cohomology of groups, Oxford Mathematical Monographs, The Clarendon Press (1991) MR1144017
9	N Habegger, Hypercohomology varieties for complexes of modules, the realizability criterion, and equivalent formulations of a conjecture of Carlsson, from: "The Arcata conference on representations of finite groups" (editor P Fong), Proc. Sympos. Pure Math. 47, Amer. Math. Soc. (1987) 431 MR933380
10	B Hanke, The stable free rank of symmetry of products of spheres, Invent. Math. 178 (2009) 265 MR2545682
11	J Pakianathan, private communication (2012)
12	P A Smith, Permutable periodic transformations, Proc. Nat. Acad. Sci. U. S. A. 30 (1944) 105 MR0010278
13	R G Swan, Periodic resolutions for finite groups, Ann. of Math. 72 (1960) 267 MR0124895
14	E Yalçın, Group actions and group extensions, Trans. Amer. Math. Soc. 352 (2000) 2689 MR1661282