On a Theorem of Ossa
Authors:
David Copeland Johnson and W. Stephen Wilson
Journal:
Proc. Amer. Math. Soc. 125 (1997), 3753-3755
MSC (1991):
Primary 55P10, 55N20; Secondary 55N15, 55S10
DOI:
https://doi.org/10.1090/S0002-9939-97-04062-8
MathSciNet review:
1415328
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Abstract | References | Similar Articles | Additional Information
Abstract: If is an elementary abelian
-group, Ossa proved that the connective
-theory of
splits into copies of
and of the connective
-theory of the infinite real projective space. We give a brief proof of Ossa's theorem.
- 1.
D. C. Johnson and W. S. Wilson, The Brown-Peterson homology of elementary
-groups, Amer. J. Math. 107 (1985), 427-454. MR 86j:55008
- 2.
D. C. Johnson, W. S. Wilson, and D. Y. Yan, Brown-Peterson homology of elementary
-groups II, Topology and its Applications 59 (1994) 117-136. MR 95j:55008
- 3. A. Liulevicius, The cohomology of Massey-Peterson algebras, Math. Zeitschr. 105 (1968) 226-256. MR 38:1680
- 4.
E. Ossa, Connective
-theory of elementary abelian groups, Transformation Groups, Osaka 1987, K. Kawakubo (ed.), Springer Lecture Notes in Mathematics 1375 (1989) 269-275. MR 90h:55009
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Additional Information
David Copeland Johnson
Affiliation:
Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506
Email:
johnson@ms.uky.edu
W. Stephen Wilson
Affiliation:
Department of Mathematics, Johns Hopkins University, Baltimore, Maryland 21218
Email:
wsw@math.jhu.edu
DOI:
https://doi.org/10.1090/S0002-9939-97-04062-8
Keywords:
$K$-theory,
real projective space,
elementary abelian group
Received by editor(s):
January 11, 1996
Received by editor(s) in revised form:
July 19, 1996
Communicated by:
Thomas Goodwillie
Article copyright:
© Copyright 1997
American Mathematical Society