On the Non-Existence of Free Actions of Elementary Abelian Groups on Products of Spheres

1980 ◽  
Vol 102 (6) ◽  
pp. 1147 ◽  
Author(s):  
Gunnar Carlsson
Keyword(s):  
Abelian Groups ◽  
Free Actions ◽  
Products Of Spheres

Free Actions of Abelian Groups on a Cartesian Power of an Even Sphere

1987 ◽  
Vol 30 (3) ◽  
pp. 358-362 ◽  
Author(s):  
Michael Hoffman
Keyword(s):  
Abelian Groups ◽  
Algebraic Condition ◽  
Cartesian Power ◽  
Necessary And Sufficient ◽  
Free Actions

AbstractWe determine an algebraic condition necessary and sufficient for a group G to act freely on the nth Cartesian power of an even sphere, and characterize the abelian groups that satisfy this condition.

scholarly journals EXAMPLES OF FREE ACTIONS ON PRODUCTS OF SPHERES

2008 ◽  
Vol 60 (4) ◽  
pp. 461-474 ◽  
Author(s):  
I. Hambleton ◽  
O. Unlu
Keyword(s):  
Free Actions ◽  
Products Of Spheres

scholarly journals Fusion systems and constructing free actions on products of spheres

2011 ◽  
Vol 270 (3-4) ◽  
pp. 939-959 ◽  
Author(s):  
Özgün Ünlü ◽  
Ergün Yalçın
Keyword(s):  
Fusion Systems ◽  
Free Actions ◽  
Products Of Spheres

INFRA-ABELIAN GROUPS AND FREE ACTIONS OF FINITE GROUPS ON THE N -TORUS

2002 ◽  
Vol 30 (6) ◽  
pp. 2791-2803 ◽  
Author(s):  
Daciberg Lima Gonçalves ◽  
João Peres Vieira
Keyword(s):  
Finite Groups ◽  
Abelian Groups ◽  
Free Actions

Free actions on products of spheres: The rational case

1991 ◽  
Vol 207 (1) ◽  
pp. 379-390 ◽  
Author(s):  
James F. Davis ◽  
R. J. Milgram
Keyword(s):  
Rational Case ◽  
Free Actions ◽  
Products Of Spheres

Elementary abelian groups acting on products of spheres

1998 ◽  
Vol 228 (4) ◽  
pp. 705-712 ◽  
Author(s):  
A. Adem ◽  
D.J. Benson
Keyword(s):  
Abelian Groups ◽  
Products Of Spheres
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