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 | 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.**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**, 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**, 10.1016/0166-8641(94)90090-6**3.**Arunas Liulevicius,*The cohomology of Massey-Peterson algebras*, Math. Z.**105**(1968), 226–256. MR**0233358****4.**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**, 10.1007/BFb0085616

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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

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