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Free Actions By Elementary Abelian 2-Groups on Stiefel Manifolds

Published online by Cambridge University Press:  20 November 2018

Larry W. Cusick
Larry W. Cusick*
Affiliation:
Department Of Mathematics California State University, Long Beach Long Beach, Ca 90840
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Abstract

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Let Vn, k denote the Stiefel manifold of k-frames in ℝn. There is a free action on Vn, k by the group . We show that if acts freely on and

then l≤k

Keywords

55M3557S17
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 27 , Issue 1 , 01 March 1984 , pp. 72 - 77
Copyright
Copyright © Canadian Mathematical Society 1984

References

1. Carlsson, G., On the non-existence of free actions of elementary abelian groups on products of spheres, American J. of Math. 102 (1980) 1147-1157.Google Scholar
2. Steenrod, N. E. and Epstein, D. B. A., Cohomology Operations, Annals of Math. Studies 50, Princeton University Press, Princeton, 1962.Google Scholar