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Proceedings of the American Mathematical Society
ISSN 1088-6826 (e) ISSN 0002-9939 (p)
     

Stable orders of stunted lens spaces mod $2^v$

Author(s): Huajian Yang
Journal: Proc. Amer. Math. Soc. 125 (1997), 2743-2751.
MSC (1991): Primary 55N15, 55P25, 55T15
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Abstract: Let $L_{2n-1}^{2n+2m}$ be the stunted lens space mod $2^v$ and $|L_{2n-1}^{2n+2m}|$ its stable order. If $v=1$, then $|L_{2n-1}^{2n+2m}|$ was determined by H. Toda (1963). In this paper, we determine the number $|L_{2n-1}^{2n+2m}|$ for $v\geq 2$.


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Additional Information:

Huajian Yang
Affiliation: Department of Mathematics, Lehigh University, Bethlehem, Pennsylvania 18015
Address at time of publication: Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada L8S 4K1
Email: hy02@lehigh.edu, yangh@icarus.math.mcmaster.ca

DOI: 10.1090/S0002-9939-97-03904-X
PII: S 0002-9939(97)03904-X
Keywords: $K$-theory, stunted lens spaces, Adams spectral sequences, vanishing line theorem
Received by editor(s): May 25, 1995
Received by editor(s) in revised form: March 13, 1996
Communicated by: Thomas G. Goodwillie
Copyright of article: Copyright 1997, American Mathematical Society


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