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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
MathSciNet review:
1415328
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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.
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David
Copeland Johnson and W.
Stephen Wilson, The Brown-Peterson homology of elementary
𝑝-groups, Amer. J. Math. 107 (1985),
no. 2, 427–453. MR 784291
(86j:55008), http://dx.doi.org/10.2307/2374422
- 2.
David
Copeland Johnson, W.
Stephen Wilson, and Dung
Yung Yan, Brown-Peterson homology of elementary 𝑝-groups.
II, Topology Appl. 59 (1994), no. 2,
117–136. MR 1296028
(95j:55008), http://dx.doi.org/10.1016/0166-8641(94)90090-6
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Arunas
Liulevicius, The cohomology of Massey-Peterson algebras, Math.
Z. 105 (1968), 226–256. MR 0233358
(38 #1680)
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E.
Ossa, Connective 𝐾-theory of elementary abelian
groups, Transformation groups (Osaka, 1987) Lecture Notes in Math.,
vol. 1375, Springer, Berlin, 1989, pp. 269–275. MR 1006699
(90h:55009), http://dx.doi.org/10.1007/BFb0085616
- 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
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- A. Liulevicius, The cohomology of Massey-Peterson algebras, Math. Zeitschr. 105 (1968) 226-256. MR 38:1680
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- 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:
http://dx.doi.org/10.1090/S0002-9939-97-04062-8
PII:
S 0002-9939(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
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