Hostname: page-component-78c5997874-4rdpn Total loading time: 0 Render date: 2024-11-10T21:29:20.501Z Has data issue: false hasContentIssue false
  • English
  • Français

Free Summands of Stably Free Modules

Published online by Cambridge University Press:  20 November 2018

Robert W. Swift
Robert W. Swift*
Affiliation:
Department of Mathematics, University of Western Ontario London, Ontario N6A 5B7
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In this note we show that the generic orthogonal stably free modules of type (2, 7) and (3, 8) have one free summand. This completes the work of other authors on free summands of orthogonal stably free modules.

Keywords

13C10
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 25 , Issue 3 , 01 September 1982 , pp. 361 - 362
Copyright
Copyright © Canadian Mathematical Society 1982

References

1. Adams, J. F., Vector Fields on Spheres, Annals of Math. 75 (1962), 603-632.Google Scholar
2. Gabel, M. R., Stably Free Projectives over Commutative Rings, Ph.D. Dissertation, Brandeis University, 1972.Google Scholar
3. Gabel, M. R., Generic Orthogonal Stable Free Projectives, Journal of Algebra 29 (1974), 477-488.Google Scholar
4. Geramita, A. V. and Pullman, N. J., A Theorem of Hurwitz and Radon and Orthogonal Projective Modules, Proc. Amer. Math. 42 Number 1 (1974), 51-56.Google Scholar
5. James, I. M., The Topology of Stiefel Manifolds, London Math. Soc. Lecture Notes 24, Cambridge Press, Cambridge, 1976.Google Scholar
6. Zvengrowski, P., A 3-fold Vector Product in R8 , Comment. Math. Helv. 40 (1966), 149-152.Google Scholar